Search a number
-
+
156729920 = 2652916889
BaseRepresentation
bin10010101011110…
…00001001000000
3101220220201000212
421111320021000
5310110324140
623315133252
73612116354
oct1125701100
9356821025
10156729920
1180519566
12445a4228
13266171c9
1416b5b464
15db5d765
hex9578240

156729920 has 56 divisors (see below), whose sum is σ = 386105400. Its totient is φ = 60526592.

The previous prime is 156729899. The next prime is 156729929. The reversal of 156729920 is 29927651.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 156550144 = 424^2 + 12512^2 .

It is not an unprimeable number, because it can be changed into a prime (156729929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 836 + ... + 17724.

Almost surely, 2156729920 is an apocalyptic number.

156729920 is a gapful number since it is divisible by the number (10) 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 156729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052700).

156729920 is an abundant number, since it is smaller than the sum of its proper divisors (229375480).

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

156729920 is a wasteful number, since it uses less digits than its factorization.

156729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16935 (or 16925 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 156729920 is about 12519.1820819093. The cubic root of 156729920 is about 539.1595522436.

The spelling of 156729920 in words is "one hundred fifty-six million, seven hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 16889 33778 67556 84445 135112 168890 270224 337780 489781 540448 675560 979562 1080896 1351120 1959124 2448905 2702240 3918248 4897810 5404480 7836496 9795620 15672992 19591240 31345984 39182480 78364960 156729920