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89111040 = 293541283
BaseRepresentation
bin1010100111110…
…11101000000000
320012200022100220
411103323220000
5140303023130
612501543040
72131300644
oct523735000
9205608326
1089111040
1146334497
1225a14a80
1315600435
14bb98c24
157c53410
hex54fba00

89111040 has 160 divisors (see below), whose sum is σ = 292856256. Its totient is φ = 23101440.

The previous prime is 89111021. The next prime is 89111051. The reversal of 89111040 is 4011198.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 89111040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314739 + ... + 315021.

Almost surely, 289111040 is an apocalyptic number.

89111040 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 89111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146428128).

89111040 is an abundant number, since it is smaller than the sum of its proper divisors (203745216).

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

89111040 is a wasteful number, since it uses less digits than its factorization.

89111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 89111040 is about 9439.8644058058. The cubic root of 89111040 is about 446.6601122773.

The spelling of 89111040 in words is "eighty-nine million, one hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 283 320 328 384 410 480 492 512 566 615 640 656 768 820 849 960 984 1132 1230 1280 1312 1415 1536 1640 1698 1920 1968 2264 2460 2560 2624 2830 3280 3396 3840 3936 4245 4528 4920 5248 5660 6560 6792 7680 7872 8490 9056 9840 10496 11320 11603 13120 13584 15744 16980 18112 19680 20992 22640 23206 26240 27168 31488 33960 34809 36224 39360 45280 46412 52480 54336 58015 62976 67920 69618 72448 78720 90560 92824 104960 108672 116030 135840 139236 144896 157440 174045 181120 185648 217344 232060 271680 278472 314880 348090 362240 371296 434688 464120 543360 556944 696180 724480 742592 928240 1086720 1113888 1392360 1485184 1856480 2173440 2227776 2784720 2970368 3712960 4455552 5569440 5940736 7425920 8911104 11138880 14851840 17822208 22277760 29703680 44555520 89111040