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99342672 = 243111341353
BaseRepresentation
bin1011110101111…
…01100101010000
320220221010112020
411322331211100
5200412431142
613505131440
72314253532
oct572754520
9226833466
1099342672
1151092690
1229329b80
1317773560
14d29d852
158ac4cec
hex5ebd950

99342672 has 160 divisors (see below), whose sum is σ = 309730176. Its totient is φ = 27033600.

The previous prime is 99342653. The next prime is 99342689. The reversal of 99342672 is 27624399.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281248 + ... + 281600.

Almost surely, 299342672 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 99342672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154865088).

99342672 is an abundant number, since it is smaller than the sum of its proper divisors (210387504).

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

99342672 is a wasteful number, since it uses less digits than its factorization.

99342672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

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

The square root of 99342672 is about 9967.0794117434. The cubic root of 99342672 is about 463.1396313771.

The spelling of 99342672 in words is "ninety-nine million, three hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 41 44 48 52 66 78 82 88 104 123 132 143 156 164 176 208 246 264 286 312 328 353 429 451 492 528 533 572 624 656 706 858 902 984 1059 1066 1144 1353 1412 1599 1716 1804 1968 2118 2132 2288 2706 2824 3198 3432 3608 3883 4236 4264 4589 5412 5648 5863 6396 6864 7216 7766 8472 8528 9178 10824 11649 11726 12792 13767 14473 15532 16944 17589 18356 21648 23298 23452 25584 27534 28946 31064 35178 36712 43419 46596 46904 50479 55068 57892 62128 70356 73424 86838 93192 93808 100958 110136 115784 140712 151437 159203 173676 186384 188149 201916 220272 231568 281424 302874 318406 347352 376298 403832 477609 564447 605748 636812 694704 752596 807664 955218 1128894 1211496 1273624 1505192 1910436 2069639 2257788 2422992 2547248 3010384 3820872 4139278 4515576 6208917 7641744 8278556 9031152 12417834 16557112 24835668 33114224 49671336 99342672