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1354013480 = 235297431571
BaseRepresentation
bin101000010110100…
…1001101100101000
310111100211000022102
41100231021230220
510233111412410
6342205112532
745360632111
oct12055115450
93440730272
101354013480
1163533a406
12319558748
1318769a111
14cbb81208
157dd0e2a5
hex50b49b28

1354013480 has 64 divisors (see below), whose sum is σ = 3157833600. Its totient is φ = 521893120.

The previous prime is 1354013461. The next prime is 1354013489. The reversal of 1354013480 is 843104531.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (1354013489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861095 + ... + 862665.

It is an arithmetic number, because the mean of its divisors is an integer number (49341150).

Almost surely, 21354013480 is an apocalyptic number.

1354013480 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 1354013480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578916800).

1354013480 is an abundant number, since it is smaller than the sum of its proper divisors (1803820120).

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

1354013480 is a wasteful number, since it uses less digits than its factorization.

1354013480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 1354013480 is about 36796.9221538976. The cubic root of 1354013480 is about 1106.3036094760.

The spelling of 1354013480 in words is "one billion, three hundred fifty-four million, thirteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 743 1160 1486 1571 2972 3142 3715 5944 6284 7430 7855 12568 14860 15710 21547 29720 31420 43094 45559 62840 86188 91118 107735 172376 182236 215470 227795 364472 430940 455590 861880 911180 1167253 1822360 2334506 4669012 5836265 9338024 11672530 23345060 33850337 46690120 67700674 135401348 169251685 270802696 338503370 677006740 1354013480