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1429389120 = 26352951343
BaseRepresentation
bin101010100110010…
…1011111101000000
310200121122111020210
41111030223331000
510411410422440
6353500434120
750264415135
oct12514537500
93617574223
101429389120
11673942225
1233a848940
1319a19b6a3
14d7ba258c
158574ca80
hex5532bf40

1429389120 has 112 divisors (see below), whose sum is σ = 4694895360. Its totient is φ = 368019456.

The previous prime is 1429389079. The next prime is 1429389127. The reversal of 1429389120 is 219839241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429389127) 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, 2169 + ... + 53511.

Almost surely, 21429389120 is an apocalyptic number.

1429389120 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 1429389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347447680).

1429389120 is an abundant number, since it is smaller than the sum of its proper divisors (3265506240).

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

1429389120 is a wasteful number, since it uses less digits than its factorization.

1429389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51392 (or 51382 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1429389120 is about 37807.2627943362. The cubic root of 1429389120 is about 1126.4627215472.

The spelling of 1429389120 in words is "one billion, four hundred twenty-nine million, three hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 2320 2784 3480 4640 5568 6960 9280 13920 27840 51343 102686 154029 205372 256715 308058 410744 513430 616116 770145 821488 1026860 1232232 1488947 1540290 1642976 2053720 2464464 2977894 3080580 3285952 4107440 4466841 4928928 5955788 6161160 7444735 8214880 8933682 9857856 11911576 12322320 14889470 16429760 17867364 22334205 23823152 24644640 29778940 35734728 44668410 47646304 49289280 59557880 71469456 89336820 95292608 119115760 142938912 178673640 238231520 285877824 357347280 476463040 714694560 1429389120