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1472117460 = 2235112312211
BaseRepresentation
bin101011110111110…
…1011101011010100
310210121001022111220
41113233223223110
511003330224320
6402024330340
751323535432
oct12757535324
93717038456
101472117460
11695a76700
123510139b0
131a5cac028
14dd725d52
158938ce40
hex57bebad4

1472117460 has 216 divisors, whose sum is σ = 4703769504. Its totient is φ = 343728000.

The previous prime is 1472117443. The next prime is 1472117477. The reversal of 1472117460 is 647112741.

It is an interprime number because it is at equal distance from previous prime (1472117443) and next prime (1472117477).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6976755 + ... + 6976965.

Almost surely, 21472117460 is an apocalyptic number.

1472117460 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 1472117460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351884752).

1472117460 is an abundant number, since it is smaller than the sum of its proper divisors (3231652044).

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

1472117460 is a wasteful number, since it uses less digits than its factorization.

1472117460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1472117460 is about 38368.1829124080. The cubic root of 1472117460 is about 1137.5770484380.

The spelling of 1472117460 in words is "one billion, four hundred seventy-two million, one hundred seventeen thousand, four hundred sixty".