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90183040 = 2752943113
BaseRepresentation
bin1010110000000…
…01010110000000
320021200202212121
411120001112000
5141041324130
612540534024
72143354213
oct530012600
9207622777
1090183040
11469a6942
1226251314
13158b735c
14bd9777a
157db5d7a
hex5601580

90183040 has 128 divisors (see below), whose sum is σ = 230234400. Its totient is φ = 33718272.

The previous prime is 90183031. The next prime is 90183043. The reversal of 90183040 is 4038109.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 90182996 and 90183014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90183043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798024 + ... + 798136.

Almost surely, 290183040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115117200).

90183040 is an abundant number, since it is smaller than the sum of its proper divisors (140051360).

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

90183040 is a wasteful number, since it uses less digits than its factorization.

90183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 90183040 is about 9496.4751355437. The cubic root of 90183040 is about 448.4440749763. Note that the first 3 decimals are identical.

The spelling of 90183040 in words is "ninety million, one hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 43 58 64 80 86 113 116 128 145 160 172 215 226 232 290 320 344 430 452 464 565 580 640 688 860 904 928 1130 1160 1247 1376 1720 1808 1856 2260 2320 2494 2752 3277 3440 3616 3712 4520 4640 4859 4988 5504 6235 6554 6880 7232 9040 9280 9718 9976 12470 13108 13760 14464 16385 18080 18560 19436 19952 24295 24940 26216 27520 32770 36160 38872 39904 48590 49880 52432 65540 72320 77744 79808 97180 99760 104864 131080 140911 155488 159616 194360 199520 209728 262160 281822 310976 388720 399040 419456 524320 563644 621952 704555 777440 798080 1048640 1127288 1409110 1554880 2097280 2254576 2818220 3109760 4509152 5636440 9018304 11272880 18036608 22545760 45091520 90183040