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142177464 = 233311134603
BaseRepresentation
bin10000111100101…
…11010010111000
3100220112100211000
420132113102320
5242344134324
622035205000
73344326362
oct1036272270
9326470730
10142177464
117328a040
123b746760
13235c04a0
1414c4dd32
15c7369c9
hex87974b8

142177464 has 128 divisors (see below), whose sum is σ = 464083200. Its totient is φ = 39761280.

The previous prime is 142177369. The next prime is 142177487. The reversal of 142177464 is 464771241.

It is a happy number.

142177464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 28587 + ... + 33189.

It is an arithmetic number, because the mean of its divisors is an integer number (3625650).

Almost surely, 2142177464 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 142177464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232041600).

142177464 is an abundant number, since it is smaller than the sum of its proper divisors (321905736).

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

142177464 is a wasteful number, since it uses less digits than its factorization.

142177464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4632 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 142177464 is about 11923.8191868210. The cubic root of 142177464 is about 521.9275893745.

The spelling of 142177464 in words is "one hundred forty-two million, one hundred seventy-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 2376 2574 2808 3432 3861 4603 5148 7722 9206 10296 13809 15444 18412 27618 30888 36824 41427 50633 55236 59839 82854 101266 110472 119678 124281 151899 165708 179517 202532 239356 248562 303798 331416 359034 405064 455697 478712 497124 538551 607596 658229 718068 911394 994248 1077102 1215192 1316458 1367091 1436136 1615653 1822788 1974687 2154204 2632916 2734182 3231306 3645576 3949374 4308408 5265832 5468364 5924061 6462612 7898748 10936728 11848122 12925224 15797496 17772183 23696244 35544366 47392488 71088732 142177464