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2069507076 = 2237132731997
BaseRepresentation
bin111101101011010…
…0010110000000100
312100020010212000020
41323112202300010
513214243211301
6541204415140
7102166343220
oct17326426004
95306125006
102069507076
1197220132a
124990a74b0
1326c9a2700
14158bcd780
15c1a42436
hex7b5a2c04

2069507076 has 144 divisors (see below), whose sum is σ = 6060749184. Its totient is φ = 538057728.

The previous prime is 2069507057. The next prime is 2069507093. The reversal of 2069507076 is 6707059602.

It is a happy number.

It is a super-2 number, since 2×20695070762 = 8565719075228139552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1035310 + ... + 1037306.

It is an arithmetic number, because the mean of its divisors is an integer number (42088536).

Almost surely, 22069507076 is an apocalyptic number.

2069507076 is a gapful number since it is divisible by the number (26) 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 2069507076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030374592).

2069507076 is an abundant number, since it is smaller than the sum of its proper divisors (3991242108).

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

2069507076 is a wasteful number, since it uses less digits than its factorization.

2069507076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 2069507076 is about 45491.8352674411. The cubic root of 2069507076 is about 1274.3507294808.

The spelling of 2069507076 in words is "two billion, sixty-nine million, five hundred seven thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 73 78 84 91 146 156 169 182 219 273 292 338 364 438 507 511 546 676 876 949 1014 1022 1092 1183 1533 1898 1997 2028 2044 2366 2847 3066 3549 3796 3994 4732 5694 5991 6132 6643 7098 7988 11388 11982 12337 13286 13979 14196 19929 23964 24674 25961 26572 27958 37011 39858 41937 49348 51922 55916 74022 77883 79716 83874 86359 103844 145781 148044 155766 167748 172718 181727 259077 291562 311532 337493 345436 363454 437343 518154 545181 583124 674986 726908 874686 1012479 1020467 1036308 1090362 1349972 1749372 1895153 2024958 2040934 2180724 2362451 3061401 3790306 4049916 4081868 4724902 5685459 6122802 7087353 7580612 9449804 11370918 12245604 13266071 14174706 22741836 24636989 26532142 28349412 39798213 49273978 53064284 73910967 79596426 98547956 147821934 159192852 172458923 295643868 344917846 517376769 689835692 1034753538 2069507076