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153468680 = 2356162897
BaseRepresentation
bin10010010010110…
…11111100001000
3101200210000110012
421021123330020
5303241444210
623121211052
73542314361
oct1111337410
9350700405
10153468680
11796a1322
1243490a88
1325a44991
141654cb68
15d717305
hex925bf08

153468680 has 32 divisors (see below), whose sum is σ = 350970840. Its totient is φ = 60380160.

The previous prime is 153468671. The next prime is 153468683. The reversal of 153468680 is 86864351.

It can be written as a sum of positive squares in 4 ways, for example, as 92659876 + 60808804 = 9626^2 + 7798^2 .

It is not an unprimeable number, because it can be changed into a prime (153468683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29009 + ... + 33888.

Almost surely, 2153468680 is an apocalyptic number.

153468680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153468680 is an abundant number, since it is smaller than the sum of its proper divisors (197502160).

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

153468680 is a wasteful number, since it uses less digits than its factorization.

153468680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62969 (or 62965 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 153468680 is about 12388.2476565493. The cubic root of 153468680 is about 535.3936951357.

The spelling of 153468680 in words is "one hundred fifty-three million, four hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 62897 125794 251588 314485 503176 628970 1257940 2515880 3836717 7673434 15346868 19183585 30693736 38367170 76734340 153468680