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147314040 = 23351677351
BaseRepresentation
bin10001100011111…
…01010101111000
3101021012022212120
420301331111320
5300203022130
622341241240
73436101666
oct1061752570
9337168776
10147314040
1176178245
1241403220
132469b493
14157c9c36
15cded910
hex8c7d578

147314040 has 64 divisors (see below), whose sum is σ = 444648960. Its totient is φ = 39043200.

The previous prime is 147314009. The next prime is 147314053. The reversal of 147314040 is 40413741.

It is a super-2 number, since 2×1473140402 = 43402852762243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 147314040.

It is a congruent number.

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, 16365 + ... + 23715.

It is an arithmetic number, because the mean of its divisors is an integer number (6947640).

Almost surely, 2147314040 is an apocalyptic number.

147314040 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 147314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222324480).

147314040 is an abundant number, since it is smaller than the sum of its proper divisors (297334920).

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

147314040 is a wasteful number, since it uses less digits than its factorization.

147314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 147314040 is about 12137.2995349048. The cubic root of 147314040 is about 528.1387663277.

Adding to 147314040 its reverse (40413741), we get a palindrome (187727781).

The spelling of 147314040 in words is "one hundred forty-seven million, three hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1336 1670 2004 2505 3340 4008 5010 6680 7351 10020 14702 20040 22053 29404 36755 44106 58808 73510 88212 110265 147020 176424 220530 294040 441060 882120 1227617 2455234 3682851 4910468 6138085 7365702 9820936 12276170 14731404 18414255 24552340 29462808 36828510 49104680 73657020 147314040