Search a number
-
+
156700920 = 233529371217
BaseRepresentation
bin10010101011100…
…01000011111000
3101220212020020210
421111301003320
5310103412140
623314351120
73611635665
oct1125610370
9356766223
10156700920
11804a97a2
124458b4a0
1326606c4c
1416b50a6c
15db54d80
hex95710f8

156700920 has 128 divisors (see below), whose sum is σ = 499867200. Its totient is φ = 39223296.

The previous prime is 156700919. The next prime is 156700927. The reversal of 156700920 is 29007651.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156700927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128152 + ... + 129368.

Almost surely, 2156700920 is an apocalyptic number.

156700920 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 156700920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249933600).

156700920 is an abundant number, since it is smaller than the sum of its proper divisors (343166280).

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

156700920 is a wasteful number, since it uses less digits than its factorization.

156700920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 156700920 is about 12518.0238056971. The cubic root of 156700920 is about 539.1262963269.

The spelling of 156700920 in words is "one hundred fifty-six million, seven hundred thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 37 40 58 60 74 87 111 116 120 145 148 174 185 222 232 290 296 348 370 435 444 555 580 696 740 870 888 1073 1110 1160 1217 1480 1740 2146 2220 2434 3219 3480 3651 4292 4440 4868 5365 6085 6438 7302 8584 9736 10730 12170 12876 14604 16095 18255 21460 24340 25752 29208 32190 35293 36510 42920 45029 48680 64380 70586 73020 90058 105879 128760 135087 141172 146040 176465 180116 211758 225145 270174 282344 352930 360232 423516 450290 529395 540348 675435 705860 847032 900580 1058790 1080696 1305841 1350870 1411720 1801160 2117580 2611682 2701740 3917523 4235160 5223364 5403480 6529205 7835046 10446728 13058410 15670092 19587615 26116820 31340184 39175230 52233640 78350460 156700920