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168997590 = 23451979139
BaseRepresentation
bin10100001001010…
…11001011010110
3102202222222010000
422010223023112
5321230410330
624434112130
74121312226
oct1204531326
9382888100
10168997590
1187438433
124871b646
1329020c98
1418632086
15ec83560
hexa12b2d6

168997590 has 160 divisors (see below), whose sum is σ = 487872000. Its totient is φ = 41850432.

The previous prime is 168997589. The next prime is 168997603. The reversal of 168997590 is 95799861.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1215741 + ... + 1215879.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 2168997590 is an apocalyptic number.

168997590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 168997590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243936000).

168997590 is an abundant number, since it is smaller than the sum of its proper divisors (318874410).

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

168997590 is a wasteful number, since it uses less digits than its factorization.

168997590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 168997590 is about 12999.9073073618. The cubic root of 168997590 is about 552.8748532790.

The spelling of 168997590 in words is "one hundred sixty-eight million, nine hundred ninety-seven thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 79 81 90 95 114 135 139 158 162 171 190 237 270 278 285 342 395 405 417 474 513 570 695 711 790 810 834 855 1026 1185 1251 1390 1422 1501 1539 1710 2085 2133 2370 2502 2565 2641 3002 3078 3555 3753 4170 4266 4503 5130 5282 6255 6399 7110 7505 7506 7695 7923 9006 10665 10981 11259 12510 12798 13205 13509 15010 15390 15846 18765 21330 21962 22515 22518 23769 26410 27018 31995 32943 37530 39615 40527 45030 47538 54905 56295 63990 65886 67545 71307 79230 81054 98829 109810 112590 118845 121581 135090 142614 164715 197658 202635 208639 213921 237690 243162 296487 329430 356535 405270 417278 427842 494145 592974 607905 625917 713070 889461 988290 1043195 1069605 1215810 1251834 1482435 1778922 1877751 2086390 2139210 2964870 3129585 3755502 4447305 5633253 6259170 8894610 9388755 11266506 16899759 18777510 28166265 33799518 56332530 84498795 168997590