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1429652120 = 235132613467
BaseRepresentation
bin101010100110110…
…1100001010011000
310200122010212000112
41111031230022120
510411442331440
6353510223452
750266561661
oct12515541230
93618125015
101429652120
11674001886
1233a954b88
1319a261300
14d7c30368
15857a0965
hex5536c298

1429652120 has 96 divisors (see below), whose sum is σ = 3541313520. Its totient is φ = 519068160.

The previous prime is 1429652117. The next prime is 1429652137. The reversal of 1429652120 is 212569241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410627 + ... + 414093.

Almost surely, 21429652120 is an apocalyptic number.

1429652120 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 1429652120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770656760).

1429652120 is an abundant number, since it is smaller than the sum of its proper divisors (2111661400).

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

1429652120 is a wasteful number, since it uses less digits than its factorization.

1429652120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 1429652120 is about 37810.7408020525. The cubic root of 1429652120 is about 1126.5318050280.

The spelling of 1429652120 in words is "one billion, four hundred twenty-nine million, six hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 169 244 260 305 338 488 520 610 676 793 845 1220 1352 1586 1690 2440 3172 3380 3467 3965 6344 6760 6934 7930 10309 13868 15860 17335 20618 27736 31720 34670 41236 45071 51545 69340 82472 90142 103090 138680 180284 206180 211487 225355 360568 412360 422974 450710 585923 845948 901420 1057435 1171846 1691896 1802840 2114870 2343692 2749331 2929615 4229740 4687384 5498662 5859230 8459480 10997324 11718460 13746655 21994648 23436920 27493310 35741303 54986620 71482606 109973240 142965212 178706515 285930424 357413030 714826060 1429652120