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157970142 = 233111913997
BaseRepresentation
bin10010110101001…
…10111011011110
3102000020201022000
421122212323132
5310420021032
623401503130
73625503231
oct1132467336
9360221260
10157970142
1181196340
1244aa1aa6
132695c875
1416da1418
15dd05e7c
hex96a6ede

157970142 has 64 divisors (see below), whose sum is σ = 403142400. Its totient is φ = 45347040.

The previous prime is 157970119. The next prime is 157970147. The reversal of 157970142 is 241079751.

It is a happy number.

157970142 is a `hidden beast` number, since 1 + 579 + 70 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 157970097 and 157970106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157970147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4288 + ... + 18284.

It is an arithmetic number, because the mean of its divisors is an integer number (6299100).

Almost surely, 2157970142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157970142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201571200).

157970142 is an abundant number, since it is smaller than the sum of its proper divisors (245172258).

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

157970142 is a wasteful number, since it uses less digits than its factorization.

157970142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14038 (or 14032 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 157970142 is about 12568.6173463910. The cubic root of 157970142 is about 540.5779614347.

It can be divided in two parts, 157 and 970142, that added together give a cube (970299 = 993).

The spelling of 157970142 in words is "one hundred fifty-seven million, nine hundred seventy thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 11286 13997 27994 41991 83982 125973 153967 251946 265943 307934 377919 461901 531886 755838 797829 923802 1385703 1595658 2393487 2771406 2925373 4157109 4786974 5850746 7180461 8314218 8776119 14360922 17552238 26328357 52656714 78985071 157970142