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142921632 = 25372231321
BaseRepresentation
bin10001000010011…
…00111110100000
3100221221011121210
420201030332200
5243041443012
622103150120
73353546100
oct1041147640
9327834553
10142921632
1173748157
123ba45340
13237c1119
1414da5200
15c83223c
hex884cfa0

142921632 has 144 divisors (see below), whose sum is σ = 455740992. Its totient is φ = 39029760.

The previous prime is 142921631. The next prime is 142921661. The reversal of 142921632 is 236129241.

It is a self number, because there is not a number n which added to its sum of digits gives 142921632.

It is not an unprimeable number, because it can be changed into a prime (142921631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107532 + ... + 108852.

It is an arithmetic number, because the mean of its divisors is an integer number (3164868).

Almost surely, 2142921632 is an apocalyptic number.

142921632 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 142921632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227870496).

142921632 is an abundant number, since it is smaller than the sum of its proper divisors (312819360).

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

142921632 is a wasteful number, since it uses less digits than its factorization.

142921632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1356 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 142921632 is about 11954.9835633513. The cubic root of 142921632 is about 522.8366085706.

The spelling of 142921632 in words is "one hundred forty-two million, nine hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 224 276 294 322 336 368 392 483 552 588 644 672 736 784 966 1104 1127 1176 1288 1321 1568 1932 2208 2254 2352 2576 2642 3381 3864 3963 4508 4704 5152 5284 6762 7728 7926 9016 9247 10568 13524 15456 15852 18032 18494 21136 27048 27741 30383 31704 36064 36988 42272 54096 55482 60766 63408 64729 73976 91149 108192 110964 121532 126816 129458 147952 182298 194187 212681 221928 243064 258916 295904 364596 388374 425362 443856 486128 517832 638043 729192 776748 850724 887712 972256 1035664 1276086 1458384 1488767 1553496 1701448 2071328 2552172 2916768 2977534 3106992 3402896 4466301 5104344 5955068 6213984 6805792 8932602 10208688 11910136 17865204 20417376 23820272 35730408 47640544 71460816 142921632