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90197104 = 24171931563
BaseRepresentation
bin1010110000001…
…00110001110000
320021201111011111
411120010301300
5141042301404
612541123104
72143443214
oct530046160
9207644144
1090197104
1146a06468
1226259494
13158c088a
14bd9c944
157dba104
hex5604c70

90197104 has 80 divisors (see below), whose sum is σ = 201415680. Its totient is φ = 38845440.

The previous prime is 90197077. The next prime is 90197111. The reversal of 90197104 is 40179109.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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, 159927 + ... + 160489.

It is an arithmetic number, because the mean of its divisors is an integer number (2517696).

Almost surely, 290197104 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 90197104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100707840).

90197104 is an abundant number, since it is smaller than the sum of its proper divisors (111218576).

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

90197104 is a wasteful number, since it uses less digits than its factorization.

90197104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 90197104 is about 9497.2155919511. The cubic root of 90197104 is about 448.4673853077.

The spelling of 90197104 in words is "ninety million, one hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 19 31 34 38 62 68 76 124 136 152 248 272 304 323 496 527 563 589 646 1054 1126 1178 1292 2108 2252 2356 2584 4216 4504 4712 5168 8432 9008 9424 9571 10013 10697 17453 19142 20026 21394 34906 38284 40052 42788 69812 76568 80104 85576 139624 153136 160208 171152 181849 279248 296701 331607 363698 593402 663214 727396 1186804 1326428 1454792 2373608 2652856 2909584 4747216 5305712 5637319 11274638 22549276 45098552 90197104