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1429797920 = 255174112821
BaseRepresentation
bin101010100111000…
…1111110000100000
310200122102021000112
41111032033300200
510412012013140
6353513310452
750301040025
oct12516176040
93618367015
101429797920
116740a1381
1233aa05428
1319a2b2795
14d7c6b54c
15857cdc65
hex5538fc20

1429797920 has 96 divisors (see below), whose sum is σ = 3664117296. Its totient is φ = 525107200.

The previous prime is 1429797913. The next prime is 1429797947. The reversal of 1429797920 is 297979241.

It can be written as a sum of positive squares in 8 ways, for example, as 130051216 + 1299746704 = 11404^2 + 36052^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105110 + ... + 117930.

Almost surely, 21429797920 is an apocalyptic number.

1429797920 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 1429797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832058648).

1429797920 is an abundant number, since it is smaller than the sum of its proper divisors (2234319376).

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

1429797920 is a wasteful number, since it uses less digits than its factorization.

1429797920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12894 (or 12886 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 50.

The square root of 1429797920 is about 37812.6687764828. The cubic root of 1429797920 is about 1126.5700993682.

The spelling of 1429797920 in words is "one billion, four hundred twenty-nine million, seven hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 68 80 82 85 136 160 164 170 205 272 328 340 410 544 656 680 697 820 1312 1360 1394 1640 2720 2788 3280 3485 5576 6560 6970 11152 12821 13940 22304 25642 27880 51284 55760 64105 102568 111520 128210 205136 217957 256420 410272 435914 512840 525661 871828 1025680 1051322 1089785 1743656 2051360 2102644 2179570 2628305 3487312 4205288 4359140 5256610 6974624 8410576 8718280 8936237 10513220 16821152 17436560 17872474 21026440 34873120 35744948 42052880 44681185 71489896 84105760 89362370 142979792 178724740 285959584 357449480 714898960 1429797920