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1351666272 = 2531110911743
BaseRepresentation
bin101000010010000…
…1100101001100000
310111012101202112210
41100210030221200
510232011310042
6342042522120
745331654665
oct12044145140
93435352483
101351666272
11633a86970
12318806340
13187057938
14cb72da6c
157d9e8a9c
hex5090ca60

1351666272 has 96 divisors (see below), whose sum is σ = 3906524160. Its totient is φ = 405803520.

The previous prime is 1351666271. The next prime is 1351666331. The reversal of 1351666272 is 2726661531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1351666272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351666271) 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, 109233 + ... + 120975.

It is an arithmetic number, because the mean of its divisors is an integer number (40692960).

Almost surely, 21351666272 is an apocalyptic number.

1351666272 is a gapful number since it is divisible by the number (12) 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 1351666272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953262080).

1351666272 is an abundant number, since it is smaller than the sum of its proper divisors (2554857888).

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

1351666272 is a wasteful number, since it uses less digits than its factorization.

1351666272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11876 (or 11868 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 1351666272 is about 36765.0142390833. The cubic root of 1351666272 is about 1105.6639736432.

The spelling of 1351666272 in words is "one billion, three hundred fifty-one million, six hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 109 132 176 218 264 327 352 436 528 654 872 1056 1199 1308 1744 2398 2616 3488 3597 4796 5232 7194 9592 10464 11743 14388 19184 23486 28776 35229 38368 46972 57552 70458 93944 115104 129173 140916 187888 258346 281832 375776 387519 516692 563664 775038 1033384 1127328 1279987 1550076 2066768 2559974 3100152 3839961 4133536 5119948 6200304 7679922 10239896 12400608 14079857 15359844 20479792 28159714 30719688 40959584 42239571 56319428 61439376 84479142 112638856 122878752 168958284 225277712 337916568 450555424 675833136 1351666272