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142697376 = 25372039
BaseRepresentation
bin10001000000101…
…10001110100000
3100221111210000000
420200112032200
5243012304001
622054300000
73351623223
oct1040261640
9327453000
10142697376
1173604718
123b957600
1323743023
1414d475ba
15c7daa86
hex88163a0

142697376 has 96 divisors (see below), whose sum is σ = 421545600. Its totient is φ = 47542464.

The previous prime is 142697363. The next prime is 142697377. The reversal of 142697376 is 673796241.

142697376 is a `hidden beast` number, since 14 + 269 + 7 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1426973762 = 40725082234570752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (142697377) 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, 68965 + ... + 71003.

It is an arithmetic number, because the mean of its divisors is an integer number (4391100).

Almost surely, 2142697376 is an apocalyptic number.

142697376 is a gapful number since it is divisible by the number (16) 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 142697376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210772800).

142697376 is an abundant number, since it is smaller than the sum of its proper divisors (278848224).

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

142697376 is an frugal number, since it uses more digits than its factorization.

142697376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2044 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 142697376 is about 11945.6006964907. The cubic root of 142697376 is about 522.5630072900.

The spelling of 142697376 in words is "one hundred forty-two million, six hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2039 2187 2592 2916 3888 4078 4374 5832 6117 7776 8156 8748 11664 12234 16312 17496 18351 23328 24468 32624 34992 36702 48936 55053 65248 69984 73404 97872 110106 146808 165159 195744 220212 293616 330318 440424 495477 587232 660636 880848 990954 1321272 1486431 1761696 1981908 2642544 2972862 3963816 4459293 5285088 5945724 7927632 8918586 11891448 15855264 17837172 23782896 35674344 47565792 71348688 142697376