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142924992 = 26371929193
BaseRepresentation
bin10001000010011…
…01110011000000
3100221221100020020
420201031303000
5243042044432
622103213440
73353561640
oct1041156300
9327840206
10142924992
117374a731
123ba47280
13237c2802
1414da6520
15c83322c
hex884dcc0

142924992 has 224 divisors, whose sum is σ = 473049600. Its totient is φ = 37158912.

The previous prime is 142924987. The next prime is 142924997. The reversal of 142924992 is 299429241.

It is an interprime number because it is at equal distance from previous prime (142924987) and next prime (142924997).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142924997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740448 + ... + 740640.

Almost surely, 2142924992 is an apocalyptic number.

142924992 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 142924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236524800).

142924992 is an abundant number, since it is smaller than the sum of its proper divisors (330124608).

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

142924992 is a wasteful number, since it uses less digits than its factorization.

142924992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 142924992 is about 11955.1240896948. The cubic root of 142924992 is about 522.8407057280.

It can be divided in two parts, 142924 and 992, that added together give a triangular number (143916 = T536).

The spelling of 142924992 in words is "one hundred forty-two million, nine hundred twenty-four thousand, nine hundred ninety-two".