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142962372 = 22327691821
BaseRepresentation
bin10001000010101…
…10111011000100
3100222000020111200
420201112323010
5243044243442
622104102500
73354105630
oct1041267304
9328006450
10142962372
1173775823
123ba64a30
1323806827
1414db5dc0
15c83e34c
hex8856ec4

142962372 has 72 divisors (see below), whose sum is σ = 414103872. Its totient is φ = 40737600.

The previous prime is 142962361. The next prime is 142962419. The reversal of 142962372 is 273269241.

142962372 is a `hidden beast` number, since 1 + 4 + 29 + 623 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173722 + ... + 174542.

Almost surely, 2142962372 is an apocalyptic number.

142962372 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 142962372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207051936).

142962372 is an abundant number, since it is smaller than the sum of its proper divisors (271141500).

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

142962372 is a wasteful number, since it uses less digits than its factorization.

142962372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1524 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 142962372 is about 11956.6873338730. The cubic root of 142962372 is about 522.8862822731.

The spelling of 142962372 in words is "one hundred forty-two million, nine hundred sixty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 691 821 1382 1642 2073 2463 2764 3284 4146 4837 4926 5747 6219 7389 8292 9674 9852 11494 12438 14511 14778 17241 19348 22988 24876 29022 29556 34482 43533 51723 58044 68964 87066 103446 174132 206892 567311 1134622 1701933 2269244 3403866 3971177 5105799 6807732 7942354 10211598 11913531 15884708 20423196 23827062 35740593 47654124 71481186 142962372