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142653204 = 223329371231
BaseRepresentation
bin10001000000010…
…11011100010100
3100221102112102000
420200023130110
5243004400304
622053315300
73351350361
oct1040133424
9327375360
10142653204
1173584511
123b935b30
1323728ba5
1414d35468
15c7cc939
hex880b714

142653204 has 96 divisors (see below), whose sum is σ = 393254400. Its totient is φ = 44634240.

The previous prime is 142653151. The next prime is 142653221. The reversal of 142653204 is 402356241.

142653204 is a `hidden beast` number, since 1 + 4 + 2 + 653 + 2 + 0 + 4 = 666.

It is a super-2 number, since 2×1426532042 = 40699873222931232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 115269 + ... + 116499.

It is an arithmetic number, because the mean of its divisors is an integer number (4096400).

Almost surely, 2142653204 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 142653204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196627200).

142653204 is an abundant number, since it is smaller than the sum of its proper divisors (250601196).

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

142653204 is a wasteful number, since it uses less digits than its factorization.

142653204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 142653204 is about 11943.7516718994. The cubic root of 142653204 is about 522.5090818992.

The spelling of 142653204 in words is "one hundred forty-two million, six hundred fifty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 37 54 58 74 87 108 111 116 148 174 222 261 333 348 444 522 666 783 999 1044 1073 1231 1332 1566 1998 2146 2462 3132 3219 3693 3996 4292 4924 6438 7386 9657 11079 12876 14772 19314 22158 28971 33237 35699 38628 44316 45547 57942 66474 71398 91094 107097 115884 132948 136641 142796 182188 214194 273282 321291 409923 428388 546564 642582 819846 963873 1229769 1285164 1320863 1639692 1927746 2459538 2641726 3855492 3962589 4919076 5283452 7925178 11887767 15850356 23775534 35663301 47551068 71326602 142653204