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152097840 = 24325211247
BaseRepresentation
bin10010001000011…
…01010000110000
3101121012101000100
421010031100300
5302414112330
623031552400
73524544636
oct1104152060
9347171010
10152097840
11789453a4
1242b2b700
1325684a2b
14162b3356
15d546060
hex910d430

152097840 has 60 divisors (see below), whose sum is σ = 510797664. Its totient is φ = 40559232.

The previous prime is 152097821. The next prime is 152097857. The reversal of 152097840 is 48790251.

152097840 is a `hidden beast` number, since 1 + 520 + 97 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152097795 and 152097804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104904 + ... + 106343.

Almost surely, 2152097840 is an apocalyptic number.

152097840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152097840 is an abundant number, since it is smaller than the sum of its proper divisors (358699824).

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

152097840 is a wasteful number, since it uses less digits than its factorization.

152097840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211266 (or 211257 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 152097840 is about 12332.7953035798. The cubic root of 152097840 is about 533.7948123849.

The spelling of 152097840 in words is "one hundred fifty-two million, ninety-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 211247 422494 633741 844988 1056235 1267482 1689976 1901223 2112470 2534964 3168705 3379952 3802446 4224940 5069928 6337410 7604892 8449880 9506115 10139856 12674820 15209784 16899760 19012230 25349640 30419568 38024460 50699280 76048920 152097840