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142065432 = 233219293581
BaseRepresentation
bin10000111011110…
…11111100011000
3100220022200010200
420131323330120
5242332043212
622032542200
73343351635
oct1035737430
9326280120
10142065432
1173212953
123b6b1960
13235814b2
1414c2118c
15c7136dc
hex877bf18

142065432 has 96 divisors (see below), whose sum is σ = 419094000. Its totient is φ = 43303680.

The previous prime is 142065431. The next prime is 142065487. The reversal of 142065432 is 234560241.

142065432 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 654 + 3 + 2 = 666.

It is a super-3 number, since 3×1420654323 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142065396 and 142065405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142065431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37882 + ... + 41462.

Almost surely, 2142065432 is an apocalyptic number.

142065432 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 142065432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209547000).

142065432 is an abundant number, since it is smaller than the sum of its proper divisors (277028568).

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

142065432 is a wasteful number, since it uses less digits than its factorization.

142065432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3634 counting only the distinct ones).

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

The square root of 142065432 is about 11919.1204373477. The cubic root of 142065432 is about 521.7904650721.

The spelling of 142065432 in words is "one hundred forty-two million, sixty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 152 171 174 228 232 261 342 348 456 522 551 684 696 1044 1102 1368 1653 2088 2204 3306 3581 4408 4959 6612 7162 9918 10743 13224 14324 19836 21486 28648 32229 39672 42972 64458 68039 85944 103849 128916 136078 204117 207698 257832 272156 311547 408234 415396 544312 612351 623094 816468 830792 934641 1224702 1246188 1632936 1869282 1973131 2449404 2492376 3738564 3946262 4898808 5919393 7477128 7892524 11838786 15785048 17758179 23677572 35516358 47355144 71032716 142065432