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190097712 = 24337371699
BaseRepresentation
bin10110101010010…
…10100100110000
3111020200222001000
423111022210300
5342131111322
630510242000
74465542510
oct1325124460
9436628030
10190097712
119833a252
12537b6300
13304cb06c
141b365840
1511a503ac
hexb54a930

190097712 has 160 divisors (see below), whose sum is σ = 640832000. Its totient is φ = 52814592.

The previous prime is 190097701. The next prime is 190097729. The reversal of 190097712 is 217790091.

It is a super-2 number, since 2×1900977122 = 72274280215269888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 111039 + ... + 112737.

It is an arithmetic number, because the mean of its divisors is an integer number (4005200).

Almost surely, 2190097712 is an apocalyptic number.

190097712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190097712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320416000).

190097712 is an abundant number, since it is smaller than the sum of its proper divisors (450734288).

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

190097712 is a wasteful number, since it uses less digits than its factorization.

190097712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 190097712 is about 13787.5926832787. The cubic root of 190097712 is about 574.9882412214.

The spelling of 190097712 in words is "one hundred ninety million, ninety-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 37 42 48 54 56 63 72 74 84 108 111 112 126 144 148 168 189 216 222 252 259 296 333 336 378 432 444 504 518 592 666 756 777 888 999 1008 1036 1332 1512 1554 1699 1776 1998 2072 2331 2664 3024 3108 3398 3996 4144 4662 5097 5328 6216 6796 6993 7992 9324 10194 11893 12432 13592 13986 15291 15984 18648 20388 23786 27184 27972 30582 35679 37296 40776 45873 47572 55944 61164 62863 71358 81552 91746 95144 107037 111888 122328 125726 142716 183492 188589 190288 214074 244656 251452 285432 321111 366984 377178 428148 440041 502904 565767 570864 642222 733968 754356 856296 880082 1005808 1131534 1284444 1320123 1508712 1697301 1712592 1760164 2263068 2568888 2640246 3017424 3394602 3520328 3960369 4526136 5137776 5280492 6789204 7040656 7920738 9052272 10560984 11881107 13578408 15841476 21121968 23762214 27156816 31682952 47524428 63365904 95048856 190097712