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1137239040 = 21035721511
BaseRepresentation
bin100001111001000…
…1110010000000000
32221020220201200110
41003302032100000
54312113122130
6304502551320
740116241500
oct10362162000
92836821613
101137239040
11533a3a583
12278a38540
131517bb912
14ab073a00
1569c8eab0
hex43c8e400

1137239040 has 264 divisors, whose sum is σ = 4234047552. Its totient is φ = 259768320.

The previous prime is 1137239011. The next prime is 1137239087. The reversal of 1137239040 is 409327311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1137238989 and 1137239007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751885 + ... + 753395.

Almost surely, 21137239040 is an apocalyptic number.

1137239040 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 1137239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117023776).

1137239040 is an abundant number, since it is smaller than the sum of its proper divisors (3096808512).

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

1137239040 is a wasteful number, since it uses less digits than its factorization.

1137239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1137239040 is about 33722.9749577347. The cubic root of 1137239040 is about 1043.7999058691.

The spelling of 1137239040 in words is "one billion, one hundred thirty-seven million, two hundred thirty-nine thousand, forty".