Search a number
-
+
156492040 = 2355397761
BaseRepresentation
bin10010101001111…
…10000100001000
3101220110121201111
421110332010020
5310030221130
623310100104
73610106005
oct1124760410
9356417644
10156492040
1180376871
12444aa634
1326562b53
1416ad88ac
15db1302a
hex953e108

156492040 has 64 divisors (see below), whose sum is σ = 362925360. Its totient is φ = 60702720.

The previous prime is 156492031. The next prime is 156492041. The reversal of 156492040 is 40294651.

It can be written as a sum of positive squares in 8 ways, for example, as 27941796 + 128550244 = 5286^2 + 11338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 156491993 and 156492011.

It is not an unprimeable number, because it can be changed into a prime (156492041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205260 + ... + 206020.

Almost surely, 2156492040 is an apocalyptic number.

156492040 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 156492040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181462680).

156492040 is an abundant number, since it is smaller than the sum of its proper divisors (206433320).

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

156492040 is a wasteful number, since it uses less digits than its factorization.

156492040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 156492040 is about 12509.6778535660. The cubic root of 156492040 is about 538.8866406932.

It can be divided in two parts, 15649 and 2040, that added together give a square (17689 = 1332).

The spelling of 156492040 in words is "one hundred fifty-six million, four hundred ninety-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 97 106 194 212 265 388 424 485 530 761 776 970 1060 1522 1940 2120 3044 3805 3880 5141 6088 7610 10282 15220 20564 25705 30440 40333 41128 51410 73817 80666 102820 147634 161332 201665 205640 295268 322664 369085 403330 590536 738170 806660 1476340 1613320 2952680 3912301 7824602 15649204 19561505 31298408 39123010 78246020 156492040