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90374032 = 2472196067
BaseRepresentation
bin1010110001011…
…11111110010000
320022001110212101
411120233332100
5141113432112
612545010144
72145111100
oct530577620
9208043771
1090374032
1147017391
1226323954
1315953278
14c007200
157e02757
hex562ff90

90374032 has 60 divisors (see below), whose sum is σ = 214443120. Its totient is φ = 36687168.

The previous prime is 90374029. The next prime is 90374041. The reversal of 90374032 is 23047309.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11863 + ... + 17929.

It is an arithmetic number, because the mean of its divisors is an integer number (3574052).

Almost surely, 290374032 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 90374032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107221560).

90374032 is an abundant number, since it is smaller than the sum of its proper divisors (124069088).

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

90374032 is a wasteful number, since it uses less digits than its factorization.

90374032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6095 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 90374032 is about 9506.5257586565. The cubic root of 90374032 is about 448.7604272839.

The spelling of 90374032 in words is "ninety million, three hundred seventy-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 3724 6067 7448 12134 14896 24268 42469 48536 84938 97072 115273 169876 230546 297283 339752 461092 594566 679504 806911 922184 1189132 1613822 1844368 2378264 3227644 4756528 5648377 6455288 11296754 12910576 22593508 45187016 90374032