Search a number
-
+
156008640 = 26351011609
BaseRepresentation
bin10010100110010…
…00000011000000
3101212120001121210
421103020003000
5304414234030
623251450120
73603023454
oct1123100300
9355501553
10156008640
1180076667
12442b6940
1326423b08
1416a10664
15da69bb0
hex94c80c0

156008640 has 112 divisors (see below), whose sum is σ = 500542560. Its totient is φ = 41164800.

The previous prime is 156008623. The next prime is 156008663. The reversal of 156008640 is 46800651.

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

It is a junction number, because it is equal to n+sod(n) for n = 156008598 and 156008607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96156 + ... + 97764.

It is an arithmetic number, because the mean of its divisors is an integer number (4469130).

Almost surely, 2156008640 is an apocalyptic number.

156008640 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 156008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250271280).

156008640 is an abundant number, since it is smaller than the sum of its proper divisors (344533920).

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

156008640 is a wasteful number, since it uses less digits than its factorization.

156008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 156008640 is about 12490.3418688201. The cubic root of 156008640 is about 538.3311992639.

The spelling of 156008640 in words is "one hundred fifty-six million, eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 160 192 202 240 303 320 404 480 505 606 808 960 1010 1212 1515 1609 1616 2020 2424 3030 3218 3232 4040 4827 4848 6060 6436 6464 8045 8080 9654 9696 12120 12872 16090 16160 19308 19392 24135 24240 25744 32180 32320 38616 48270 48480 51488 64360 77232 96540 96960 102976 128720 154464 162509 193080 257440 308928 325018 386160 487527 514880 650036 772320 812545 975054 1300072 1544640 1625090 1950108 2437635 2600144 3250180 3900216 4875270 5200288 6500360 7800432 9750540 10400576 13000720 15600864 19501080 26001440 31201728 39002160 52002880 78004320 156008640