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97306638 = 2311131947127
BaseRepresentation
bin1011100110011…
…00100000001110
320210002200121120
411303030200032
5144402303023
613353341410
72261043552
oct563144016
9223080546
1097306638
114aa21a10
1228707866
131720c8c0
14cccd862
1588218e3
hex5ccc80e

97306638 has 128 divisors (see below), whose sum is σ = 247726080. Its totient is φ = 25038720.

The previous prime is 97306621. The next prime is 97306639. The reversal of 97306638 is 83660379.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 97306638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97306639) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766131 + ... + 766257.

It is an arithmetic number, because the mean of its divisors is an integer number (1935360).

Almost surely, 297306638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97306638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123863040).

97306638 is an abundant number, since it is smaller than the sum of its proper divisors (150419442).

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

97306638 is a wasteful number, since it uses less digits than its factorization.

97306638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222.

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

The square root of 97306638 is about 9864.4127042617. The cubic root of 97306638 is about 459.9537414100.

The spelling of 97306638 in words is "ninety-seven million, three hundred six thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 47 57 66 78 94 114 127 141 143 209 247 254 282 286 381 418 429 494 517 611 627 741 762 858 893 1034 1222 1254 1397 1482 1551 1651 1786 1833 2413 2679 2717 2794 3102 3302 3666 4191 4826 4953 5358 5434 5969 6721 7239 8151 8382 9823 9906 11609 11938 13442 14478 16302 17907 18161 19646 20163 23218 26543 29469 31369 34827 35814 36322 40326 53086 54483 58938 62738 65659 69654 77597 79629 94107 108966 113411 127699 131318 155194 159258 188214 196977 226822 232791 255398 340233 345059 383097 393954 465582 680466 690118 766194 853567 1035177 1247521 1474343 1707134 2070354 2495042 2560701 2948686 3742563 4423029 5121402 7485126 8846058 16217773 32435546 48653319 97306638