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153171040 = 25511293001
BaseRepresentation
bin10010010000100…
…11010001100000
3101200012220011111
421020103101200
5303202433130
623110553104
73536634541
oct1110232140
9350186144
10153171040
1179508740
1243368794
132596c369
14164b24c8
15d6a902a
hex9213460

153171040 has 96 divisors (see below), whose sum is σ = 408512160. Its totient is φ = 53760000.

The previous prime is 153170977. The next prime is 153171041. The reversal of 153171040 is 40171351.

It is a super-2 number, since 2×1531710402 = 46922734989363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153171041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49540 + ... + 52540.

It is an arithmetic number, because the mean of its divisors is an integer number (4255335).

Almost surely, 2153171040 is an apocalyptic number.

153171040 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 153171040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204256080).

153171040 is an abundant number, since it is smaller than the sum of its proper divisors (255341120).

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

153171040 is a wasteful number, since it uses less digits than its factorization.

153171040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 153171040 is about 12376.2288278781. The cubic root of 153171040 is about 535.0473536564.

The spelling of 153171040 in words is "one hundred fifty-three million, one hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 145 160 176 220 232 290 319 352 440 464 580 638 880 928 1160 1276 1595 1760 2320 2552 3001 3190 4640 5104 6002 6380 10208 12004 12760 15005 24008 25520 30010 33011 48016 51040 60020 66022 87029 96032 120040 132044 165055 174058 240080 264088 330110 348116 435145 480160 528176 660220 696232 870290 957319 1056352 1320440 1392464 1740580 1914638 2640880 2784928 3481160 3829276 4786595 5281760 6962320 7658552 9573190 13924640 15317104 19146380 30634208 38292760 76585520 153171040