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88721040 = 2435438597
BaseRepresentation
bin1010100100111…
…00011010010000
320011221111101110
411102130122100
5140203033130
612445333320
72125054632
oct522343220
9204844343
1088721040
1146098481
1225867240
13154c4a75
14bad6a52
157bc7ab0
hex549c690

88721040 has 80 divisors (see below), whose sum is σ = 281464128. Its totient is φ = 23106048.

The previous prime is 88721033. The next prime is 88721047. The reversal of 88721040 is 4012788.

It is an interprime number because it is at equal distance from previous prime (88721033) and next prime (88721047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 88720989 and 88721007.

It is not an unprimeable number, because it can be changed into a prime (88721047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6022 + ... + 14618.

Almost surely, 288721040 is an apocalyptic number.

88721040 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 88721040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140732064).

88721040 is an abundant number, since it is smaller than the sum of its proper divisors (192743088).

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

88721040 is a wasteful number, since it uses less digits than its factorization.

88721040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 88721040 is about 9419.1846780918. The cubic root of 88721040 is about 446.0075474468.

The spelling of 88721040 in words is "eighty-eight million, seven hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 8597 10320 17194 25791 34388 42985 51582 68776 85970 103164 128955 137552 171940 206328 257910 343880 369671 412656 515820 687760 739342 1031640 1109013 1478684 1848355 2063280 2218026 2957368 3696710 4436052 5545065 5914736 7393420 8872104 11090130 14786840 17744208 22180260 29573680 44360520 88721040