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142607430 = 23257415521
BaseRepresentation
bin10001000000000…
…00010001000110
3100221100012121200
420200000101012
5243001414210
622052323330
73351100050
oct1040002106
9327305550
10142607430
1173553089
123b913546
13237110c4
1414d228d0
15c7be0c0
hex8800446

142607430 has 96 divisors (see below), whose sum is σ = 434161728. Its totient is φ = 31795200.

The previous prime is 142607359. The next prime is 142607431. The reversal of 142607430 is 34706241.

142607430 is a `hidden beast` number, since 14 + 2 + 607 + 43 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 142607394 and 142607403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142607431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23070 + ... + 28590.

It is an arithmetic number, because the mean of its divisors is an integer number (4522518).

Almost surely, 2142607430 is an apocalyptic number.

142607430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142607430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217080864).

142607430 is an abundant number, since it is smaller than the sum of its proper divisors (291554298).

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

142607430 is a wasteful number, since it uses less digits than its factorization.

142607430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5582 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 142607430 is about 11941.8352860856. The cubic root of 142607430 is about 522.4531890330.

The spelling of 142607430 in words is "one hundred forty-two million, six hundred seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 574 615 630 738 861 1230 1435 1722 1845 2583 2870 3690 4305 5166 5521 8610 11042 12915 16563 25830 27605 33126 38647 49689 55210 77294 82815 99378 115941 165630 193235 226361 231882 248445 347823 386470 452722 496890 579705 679083 695646 1131805 1159410 1358166 1584527 1739115 2037249 2263610 3169054 3395415 3478230 4074498 4753581 6790830 7922635 9507162 10186245 14260743 15845270 20372490 23767905 28521486 47535810 71303715 142607430