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142093952 = 27711131109
BaseRepresentation
bin10000111100000…
…10111010000000
3100220101010020222
420132002322000
5242334001302
622033322212
73343531040
oct1036027200
9326333228
10142093952
1173232320
123b706368
1323591480
1414c2b720
15c71bda2
hex8782e80

142093952 has 128 divisors (see below), whose sum is σ = 380419200. Its totient is φ = 51056640.

The previous prime is 142093943. The next prime is 142093957. The reversal of 142093952 is 259390241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142093957) 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, 127574 + ... + 128682.

It is an arithmetic number, because the mean of its divisors is an integer number (2972025).

Almost surely, 2142093952 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 142093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190209600).

142093952 is an abundant number, since it is smaller than the sum of its proper divisors (238325248).

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

142093952 is a wasteful number, since it uses less digits than its factorization.

142093952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 142093952 is about 11920.3167743143. The cubic root of 142093952 is about 521.8253796608.

The spelling of 142093952 in words is "one hundred forty-two million, ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 896 1001 1109 1144 1232 1408 1456 1664 2002 2218 2288 2464 2912 4004 4436 4576 4928 5824 7763 8008 8872 9152 9856 11648 12199 14417 15526 16016 17744 18304 24398 28834 31052 32032 35488 48796 57668 62104 64064 70976 85393 97592 100919 115336 124208 128128 141952 158587 170786 195184 201838 230672 248416 317174 341572 390368 403676 461344 496832 634348 683144 780736 807352 922688 993664 1110109 1268696 1366288 1561472 1614704 1845376 2220218 2537392 2732576 3229408 4440436 5074784 5465152 6458816 8880872 10149568 10930304 12917632 17761744 20299136 35523488 71046976 142093952