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1407131980 = 225531677949
BaseRepresentation
bin101001111011111…
…0010000101001100
310122001202201012021
41103313302011030
510340211210410
6351343415524
746604265412
oct12367620514
93561681167
101407131980
116623200a1
123332b45a4
131956a7a97
14d4c4b2b2
1583802eda
hex53df214c

1407131980 has 48 divisors (see below), whose sum is σ = 3029140800. Its totient is φ = 548857088.

The previous prime is 1407131977. The next prime is 1407131983. The reversal of 1407131980 is 891317041.

It is an interprime number because it is at equal distance from previous prime (1407131977) and next prime (1407131983).

It is a super-3 number, since 3×14071319803 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1407131983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173046 + ... + 180994.

It is an arithmetic number, because the mean of its divisors is an integer number (63107100).

Almost surely, 21407131980 is an apocalyptic number.

1407131980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1407131980 is an abundant number, since it is smaller than the sum of its proper divisors (1622008820).

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

1407131980 is a wasteful number, since it uses less digits than its factorization.

1407131980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8178 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 1407131980 is about 37511.7578900270. The cubic root of 1407131980 is about 1120.5853604661.

The spelling of 1407131980 in words is "one billion, four hundred seven million, one hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 53 106 167 212 265 334 530 668 835 1060 1670 3340 7949 8851 15898 17702 31796 35404 39745 44255 79490 88510 158980 177020 421297 842594 1327483 1685188 2106485 2654966 4212970 5309932 6637415 8425940 13274830 26549660 70356599 140713198 281426396 351782995 703565990 1407131980