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142511064 = 23353199563
BaseRepresentation
bin10000111111010…
…00101111011000
3100221011022102120
420133220233120
5242440323224
622050301240
73350216103
oct1037505730
9327138376
10142511064
1173497743
123b887820
13236a9297
1414cd973a
15c7a0779
hex87e8bd8

142511064 has 64 divisors (see below), whose sum is σ = 365472000. Its totient is φ = 46290816.

The previous prime is 142510997. The next prime is 142511071. The reversal of 142511064 is 460115241.

It is a happy number.

142511064 is digitally balanced in base 3, 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252847 + ... + 253409.

It is an arithmetic number, because the mean of its divisors is an integer number (5710500).

Almost surely, 2142511064 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 142511064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182736000).

142511064 is an abundant number, since it is smaller than the sum of its proper divisors (222960936).

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

142511064 is a wasteful number, since it uses less digits than its factorization.

142511064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 142511064 is about 11937.7997972826. The cubic root of 142511064 is about 522.3354811203.

The spelling of 142511064 in words is "one hundred forty-two million, five hundred eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 199 212 318 398 424 563 597 636 796 1126 1194 1272 1592 1689 2252 2388 3378 4504 4776 6756 10547 13512 21094 29839 31641 42188 59678 63282 84376 89517 112037 119356 126564 179034 224074 238712 253128 336111 358068 448148 672222 716136 896296 1344444 2688888 5937961 11875922 17813883 23751844 35627766 47503688 71255532 142511064