Search a number
-
+
156661740 = 223252379479
BaseRepresentation
bin10010101011001…
…11011111101100
3101220210020111200
421111213133230
5310101133430
623313445500
73611413524
oct1125473754
9356706450
10156661740
1180482314
1244570890
13265c2171
1416b40684
15db48460
hex95677ec

156661740 has 144 divisors (see below), whose sum is σ = 503193600. Its totient is φ = 39371904.

The previous prime is 156661733. The next prime is 156661777. The reversal of 156661740 is 47166651.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 156661695 and 156661704.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 326821 + ... + 327299.

It is an arithmetic number, because the mean of its divisors is an integer number (3494400).

Almost surely, 2156661740 is an apocalyptic number.

156661740 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 156661740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

156661740 is an abundant number, since it is smaller than the sum of its proper divisors (346531860).

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

156661740 is a wasteful number, since it uses less digits than its factorization.

156661740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 156661740 is about 12516.4587643630. The cubic root of 156661740 is about 539.0813599199.

The spelling of 156661740 in words is "one hundred fifty-six million, six hundred sixty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 79 90 92 115 138 158 180 207 230 237 276 316 345 395 414 460 474 479 690 711 790 828 948 958 1035 1185 1380 1422 1437 1580 1817 1916 2070 2370 2395 2844 2874 3555 3634 4140 4311 4740 4790 5451 5748 7110 7185 7268 8622 9085 9580 10902 11017 14220 14370 16353 17244 18170 21555 21804 22034 27255 28740 32706 33051 36340 37841 43110 44068 54510 55085 65412 66102 75682 81765 86220 99153 109020 110170 113523 132204 151364 163530 165255 189205 198306 220340 227046 327060 330510 340569 378410 396612 454092 495765 567615 661020 681138 756820 870343 991530 1135230 1362276 1702845 1740686 1983060 2270460 2611029 3405690 3481372 4351715 5222058 6811380 7833087 8703430 10444116 13055145 15666174 17406860 26110290 31332348 39165435 52220580 78330870 156661740