Search a number
-
+
1137572640 = 25335231072
BaseRepresentation
bin100001111001101…
…1111101100100000
32221021112200022000
41003303133230200
54312204311030
6304514044000
740122131211
oct10363375440
92837480260
101137572640
11534148186
12278b79600
131518a7709
14ab11d408
1569d08860
hex43cdfb20

1137572640 has 288 divisors, whose sum is σ = 4193804160. Its totient is φ = 287451648.

The previous prime is 1137572633. The next prime is 1137572677. The reversal of 1137572640 is 462757311.

It is a happy number.

1137572640 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 5 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11375726402 = 2588143022553139200, which contains 22 as substring.

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 = 1137572595 and 1137572604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10631467 + ... + 10631573.

It is an arithmetic number, because the mean of its divisors is an integer number (14561820).

Almost surely, 21137572640 is an apocalyptic number.

1137572640 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 1137572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096902080).

1137572640 is an abundant number, since it is smaller than the sum of its proper divisors (3056231520).

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

1137572640 is a wasteful number, since it uses less digits than its factorization.

1137572640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1137572640 is about 33727.9207778956. The cubic root of 1137572640 is about 1043.9019593494.

The spelling of 1137572640 in words is "one billion, one hundred thirty-seven million, five hundred seventy-two thousand, six hundred forty".