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97991124 = 223711231311
BaseRepresentation
bin1011101011100…
…11100111010100
320211101110112220
411311303213110
5200041203444
613420142340
72266624260
oct565634724
9224343486
1097991124
115034a200
12289979b0
13173bc31a
14d02b0a0
158909619
hex5d739d4

97991124 has 144 divisors (see below), whose sum is σ = 297443328. Its totient is φ = 24552000.

The previous prime is 97991119. The next prime is 97991137. The reversal of 97991124 is 42119979.

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

Its product of digits (40824) is a multiple of the sum of its prime factors (378).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314929 + ... + 315239.

Almost surely, 297991124 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 97991124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148721664).

97991124 is an abundant number, since it is smaller than the sum of its proper divisors (199452204).

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

97991124 is a wasteful number, since it uses less digits than its factorization.

97991124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its digits is 40824, while the sum is 42.

The square root of 97991124 is about 9899.0466207610. The cubic root of 97991124 is about 461.0297096589.

The spelling of 97991124 in words is "ninety-seven million, nine hundred ninety-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 121 124 132 154 186 217 231 242 308 311 341 363 372 434 462 484 622 651 682 726 847 868 924 933 1023 1244 1302 1364 1452 1694 1866 2046 2177 2387 2541 2604 3388 3421 3732 3751 4092 4354 4774 5082 6531 6842 7161 7502 8708 9548 9641 10164 10263 11253 13062 13684 14322 15004 19282 20526 22506 23947 26124 26257 28644 28923 37631 38564 41052 45012 47894 52514 57846 67487 71841 75262 78771 95788 105028 106051 112893 115692 134974 143682 150524 157542 202461 212102 225786 263417 269948 287364 315084 318153 404922 424204 451572 526834 636306 742357 790251 809844 1053668 1166561 1272612 1484714 1580502 2227071 2333122 2969428 3161004 3499683 4454142 4666244 6999366 8165927 8908284 13998732 16331854 24497781 32663708 48995562 97991124