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153506730 = 235133112697
BaseRepresentation
bin10010010011001…
…01001110101010
3101200211221122110
421021211032222
5303244203410
623122103150
73542533326
oct1111451652
9350757573
10153506730
1179717973
12434aaab6
1325a590b0
141655c986
15d723720
hex92653aa

153506730 has 64 divisors (see below), whose sum is σ = 409586688. Its totient is φ = 36564480.

The previous prime is 153506723. The next prime is 153506789. The reversal of 153506730 is 37605351.

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

It is an unprimeable number.

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, 5742 + ... + 18438.

It is an arithmetic number, because the mean of its divisors is an integer number (6399792).

Almost surely, 2153506730 is an apocalyptic number.

153506730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153506730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204793344).

153506730 is an abundant number, since it is smaller than the sum of its proper divisors (256079958).

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

153506730 is a wasteful number, since it uses less digits than its factorization.

153506730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12751.

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 153506730 is about 12389.7832910830. The cubic root of 153506730 is about 535.4379387923.

The spelling of 153506730 in words is "one hundred fifty-three million, five hundred six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 2015 2418 4030 6045 12090 12697 25394 38091 63485 76182 126970 165061 190455 330122 380910 393607 495183 787214 825305 990366 1180821 1650610 1968035 2361642 2475915 3936070 4951830 5116891 5904105 10233782 11808210 15350673 25584455 30701346 51168910 76753365 153506730