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1369499040 = 2532572131493
BaseRepresentation
bin101000110100000…
…1110010110100000
310112102221202111200
41101220032112200
510301042432130
6343521041200
745636356400
oct12150162640
93472852450
101369499040
11643056998
12322786200
1318a95c780
14cdc52800
158036c760
hex51a0e5a0

1369499040 has 432 divisors, whose sum is σ = 5858529768. Its totient is φ = 288755712.

The previous prime is 1369499023. The next prime is 1369499041. The reversal of 1369499040 is 409949631.

It can be written as a sum of positive squares in 4 ways, for example, as 1112089104 + 257409936 = 33348^2 + 16044^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1369499041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 916534 + ... + 918026.

Almost surely, 21369499040 is an apocalyptic number.

1369499040 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 1369499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929264884).

1369499040 is an abundant number, since it is smaller than the sum of its proper divisors (4489030728).

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

1369499040 is a wasteful number, since it uses less digits than its factorization.

1369499040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1369499040 is about 37006.7431693198. The cubic root of 1369499040 is about 1110.5051511321.

The spelling of 1369499040 in words is "one billion, three hundred sixty-nine million, four hundred ninety-nine thousand, forty".