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1353399096 = 233753971567
BaseRepresentation
bin101000010101011…
…0011101100111000
310111022122210112110
41100222303230320
510232432232341
6342144012320
745352462650
oct12052635470
93438583473
101353399096
11634a5a855
123193010a0
1318751358a
14cba61360
157dc3c216
hex50ab3b38

1353399096 has 128 divisors (see below), whose sum is σ = 3982970880. Its totient is φ = 375238656.

The previous prime is 1353399031. The next prime is 1353399109. The reversal of 1353399096 is 6909933531.

It is a super-2 number, since 2×13533990962 = 3663378226107234432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862905 + ... + 864471.

It is an arithmetic number, because the mean of its divisors is an integer number (31116960).

Almost surely, 21353399096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353399096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991485440).

1353399096 is an abundant number, since it is smaller than the sum of its proper divisors (2629571784).

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

1353399096 is a wasteful number, since it uses less digits than its factorization.

1353399096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 590490, while the sum is 48.

The square root of 1353399096 is about 36788.5728997470. The cubic root of 1353399096 is about 1106.1362556358.

The spelling of 1353399096 in words is "one billion, three hundred fifty-three million, three hundred ninety-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 97 106 159 168 194 212 291 318 371 388 424 582 636 679 742 776 1113 1164 1272 1358 1484 1567 2037 2226 2328 2716 2968 3134 4074 4452 4701 5141 5432 6268 8148 8904 9402 10282 10969 12536 15423 16296 18804 20564 21938 30846 32907 35987 37608 41128 43876 61692 65814 71974 83051 87752 107961 123384 131628 143948 151999 166102 215922 249153 263256 287896 303998 332204 431844 455997 498306 581357 607996 664408 863688 911994 996612 1063993 1162714 1215992 1744071 1823988 1993224 2127986 2325428 3191979 3488142 3647976 4255972 4650856 6383958 6976284 8055947 8511944 12767916 13952568 16111894 24167841 25535832 32223788 48335682 56391629 64447576 96671364 112783258 169174887 193342728 225566516 338349774 451133032 676699548 1353399096