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1342069920 = 253253725189
BaseRepresentation
bin100111111111110…
…0101110010100000
310110112100012211100
41033333211302200
510222032214140
6341101114400
745154256202
oct11777456240
93415305740
101342069920
11629621aa4
12315558a00
13185077a19
14ca352772
157cc50530
hex4ffe5ca0

1342069920 has 144 divisors (see below), whose sum is σ = 4703779080. Its totient is φ = 348198912.

The previous prime is 1342069909. The next prime is 1342069961. The reversal of 1342069920 is 299602431.

It can be written as a sum of positive squares in 4 ways, for example, as 1336926096 + 5143824 = 36564^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 40686 + ... + 65874.

Almost surely, 21342069920 is an apocalyptic number.

1342069920 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 1342069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351889540).

1342069920 is an abundant number, since it is smaller than the sum of its proper divisors (3361709160).

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

1342069920 is a wasteful number, since it uses less digits than its factorization.

1342069920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25247 (or 25236 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1342069920 is about 36634.2724781044. The cubic root of 1342069920 is about 1103.0411491824.

The spelling of 1342069920 in words is "one billion, three hundred forty-two million, sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4440 5328 5920 6660 8880 10656 13320 17760 25189 26640 50378 53280 75567 100756 125945 151134 201512 226701 251890 302268 377835 403024 453402 503780 604536 755670 806048 906804 931993 1007560 1133505 1209072 1511340 1813608 1863986 2015120 2267010 2418144 2795979 3022680 3627216 3727972 4030240 4534020 4659965 5591958 6045360 7254432 7455944 8387937 9068040 9319930 11183916 12090720 13979895 14911888 16775874 18136080 18639860 22367832 27959790 29823776 33551748 36272160 37279720 41939685 44735664 55919580 67103496 74559440 83879370 89471328 111839160 134206992 149118880 167758740 223678320 268413984 335517480 447356640 671034960 1342069920