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142434032 = 241319231567
BaseRepresentation
bin10000111110101…
…01111011110000
3100221000101202112
420133111323300
5242430342112
622044504452
73346445366
oct1037257360
9327011675
10142434032
1173444884
123b84b128
13236801c0
1414cb9636
15c787a22
hex87d5ef0

142434032 has 80 divisors (see below), whose sum is σ = 326645760. Its totient is φ = 59533056.

The previous prime is 142434031. The next prime is 142434043. The reversal of 142434032 is 230434241.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 142433989 and 142434007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142434031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90113 + ... + 91679.

It is an arithmetic number, because the mean of its divisors is an integer number (4083072).

Almost surely, 2142434032 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 142434032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163322880).

142434032 is an abundant number, since it is smaller than the sum of its proper divisors (184211728).

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

142434032 is a wasteful number, since it uses less digits than its factorization.

142434032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 142434032 is about 11934.5729709948. The cubic root of 142434032 is about 522.2413508879.

Adding to 142434032 its reverse (230434241), we get a palindrome (372868273).

The spelling of 142434032 in words is "one hundred forty-two million, four hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 23 26 38 46 52 76 92 104 152 184 208 247 299 304 368 437 494 598 874 988 1196 1567 1748 1976 2392 3134 3496 3952 4784 5681 6268 6992 11362 12536 20371 22724 25072 29773 36041 40742 45448 59546 72082 81484 90896 119092 144164 162968 238184 288328 325936 387049 468533 476368 576656 684779 774098 937066 1369558 1548196 1874132 2739116 3096392 3748264 5478232 6192784 7496528 8902127 10956464 17804254 35608508 71217016 142434032