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153120040 = 235101151251
BaseRepresentation
bin10010010000001…
…10110100101000
3101200010022012121
421020012310220
5303144320130
623105521024
73536333053
oct1110066450
9350108177
10153120040
1179483397
1243343174
1325952098
141649ba9a
15d698d7a
hex9206d28

153120040 has 64 divisors (see below), whose sum is σ = 351630720. Its totient is φ = 60000000.

The previous prime is 153119987. The next prime is 153120041. The reversal of 153120040 is 40021351.

It is a junction number, because it is equal to n+sod(n) for n = 153119996 and 153120023.

It is not an unprimeable number, because it can be changed into a prime (153120041) 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, 609915 + ... + 610165.

It is an arithmetic number, because the mean of its divisors is an integer number (5494230).

Almost surely, 2153120040 is an apocalyptic number.

153120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153120040 is an abundant number, since it is smaller than the sum of its proper divisors (198510680).

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

153120040 is a wasteful number, since it uses less digits than its factorization.

153120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 153120040 is about 12374.1682548768. The cubic root of 153120040 is about 534.9879637435.

Adding to 153120040 its reverse (40021351), we get a palindrome (193141391).

The spelling of 153120040 in words is "one hundred fifty-three million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 151 202 251 302 404 502 505 604 755 808 1004 1010 1208 1255 1510 2008 2020 2510 3020 4040 5020 6040 10040 15251 25351 30502 37901 50702 61004 75802 76255 101404 122008 126755 151604 152510 189505 202808 253510 303208 305020 379010 507020 610040 758020 1014040 1516040 3828001 7656002 15312004 19140005 30624008 38280010 76560020 153120040