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88691040 = 25325173623
BaseRepresentation
bin1010100100101…
…01000101100000
320011212222020100
411102111011200
5140201103130
612444542400
72124601314
oct522250540
9204788210
1088691040
1146077989
1225851a00
13154b4209
14bac9b44
157bbdc60
hex5495160

88691040 has 144 divisors (see below), whose sum is σ = 320550048. Its totient is φ = 22253568.

The previous prime is 88691033. The next prime is 88691047. The reversal of 88691040 is 4019688.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88691033) and next prime (88691047).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×886910402 = 15732201152563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88690986 and 88691004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88691047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22669 + ... + 26291.

It is an arithmetic number, because the mean of its divisors is an integer number (2226042).

Almost surely, 288691040 is an apocalyptic number.

88691040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160275024).

88691040 is an abundant number, since it is smaller than the sum of its proper divisors (231859008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88691040 is a wasteful number, since it uses less digits than its factorization.

88691040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 88691040 is about 9417.5920489263. The cubic root of 88691040 is about 445.9572710042.

The spelling of 88691040 in words is "eighty-eight million, six hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 3623 4080 4896 6120 7246 8160 10869 12240 14492 18115 21738 24480 28984 32607 36230 43476 54345 57968 61591 65214 72460 86952 108690 115936 123182 130428 144920 163035 173904 184773 217380 246364 260856 289840 307955 326070 347808 369546 434760 492728 521712 554319 579680 615910 652140 739092 869520 923865 985456 1043424 1108638 1231820 1304280 1478184 1739040 1847730 1970912 2217276 2463640 2608560 2771595 2956368 3695460 4434552 4927280 5217120 5543190 5912736 7390920 8869104 9854560 11086380 14781840 17738208 22172760 29563680 44345520 88691040