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90347964 = 22372198087
BaseRepresentation
bin1010110001010…
…01100110111100
320022000011002220
411120221212330
5141112113324
612544245340
72144642100
oct530514674
9208004086
1090347964
1146aa9843
1226310850
1315944445
14bddb900
157de9b79
hex56299bc

90347964 has 72 divisors (see below), whose sum is σ = 258168960. Its totient is φ = 24452064.

The previous prime is 90347953. The next prime is 90347989. The reversal of 90347964 is 46974309.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7129 + ... + 15215.

It is an arithmetic number, because the mean of its divisors is an integer number (3585680).

Almost surely, 290347964 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 90347964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129084480).

90347964 is an abundant number, since it is smaller than the sum of its proper divisors (167820996).

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

90347964 is a wasteful number, since it uses less digits than its factorization.

90347964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8127 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 90347964 is about 9505.1546015833. The cubic root of 90347964 is about 448.7172754643.

The spelling of 90347964 in words is "ninety million, three hundred forty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 931 1596 1862 2793 3724 5586 8087 11172 16174 24261 32348 48522 56609 97044 113218 153653 169827 226436 307306 339654 396263 460959 614612 679308 792526 921918 1075571 1188789 1585052 1843836 2151142 2377578 3226713 4302284 4755156 6453426 7528997 12906852 15057994 22586991 30115988 45173982 90347964