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142810992 = 243319127137
BaseRepresentation
bin10001000001100…
…01111101110000
3100221201112212000
420200301331300
5243024422432
622100534000
73352605402
oct1040617560
9327645760
10142810992
1173682015
123b9b1300
132378295c
1414d76b72
15c80e57c
hex8831f70

142810992 has 160 divisors (see below), whose sum is σ = 438067200. Its totient is φ = 44416512.

The previous prime is 142810949. The next prime is 142811023. The reversal of 142810992 is 299018241.

142810992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 1042348 + ... + 1042484.

It is an arithmetic number, because the mean of its divisors is an integer number (2737920).

Almost surely, 2142810992 is an apocalyptic number.

142810992 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 142810992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219033600).

142810992 is an abundant number, since it is smaller than the sum of its proper divisors (295256208).

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

142810992 is a wasteful number, since it uses less digits than its factorization.

142810992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 142810992 is about 11950.3553085253. The cubic root of 142810992 is about 522.7016591466.

The spelling of 142810992 in words is "one hundred forty-two million, eight hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 127 137 144 152 171 216 228 254 274 304 342 381 411 432 456 508 513 548 684 762 822 912 1016 1026 1096 1143 1233 1368 1524 1644 2032 2052 2192 2286 2413 2466 2603 2736 3048 3288 3429 3699 4104 4572 4826 4932 5206 6096 6576 6858 7239 7398 7809 8208 9144 9652 9864 10412 13716 14478 14796 15618 17399 18288 19304 19728 20824 21717 23427 27432 28956 29592 31236 34798 38608 41648 43434 46854 52197 54864 57912 59184 62472 65151 69596 70281 86868 93708 104394 115824 124944 130302 139192 140562 156591 173736 187416 208788 260604 278384 281124 313182 330581 347472 374832 417576 469773 521208 562248 626364 661162 835152 939546 991743 1042416 1124496 1252728 1322324 1879092 1983486 2505456 2644648 2975229 3758184 3966972 5289296 5950458 7516368 7933944 8925687 11900916 15867888 17851374 23801832 35702748 47603664 71405496 142810992