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76668732 = 223274887
BaseRepresentation
bin1001001000111…
…01111100111100
312100021011201200
410210131330330
5124111344412
611335135500
71620450000
oct444357474
9170234650
1076668732
113a306398
1221814590
1312b6501a
14a27a700
156ae69dc
hex491df3c

76668732 has 90 divisors (see below), whose sum is σ = 226343208. Its totient is φ = 21880656.

The previous prime is 76668727. The next prime is 76668733. The reversal of 76668732 is 23786667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76668733) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 85993 + ... + 86879.

Almost surely, 276668732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76668732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113171604).

76668732 is an abundant number, since it is smaller than the sum of its proper divisors (149674476).

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

76668732 is a wasteful number, since it uses less digits than its factorization.

76668732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 899 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 76668732 is about 8756.0682957592. The cubic root of 76668732 is about 424.8211141048.

The spelling of 76668732 in words is "seventy-six million, six hundred sixty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 887 1029 1372 1764 1774 2058 2401 2661 3087 3548 4116 4802 5322 6174 6209 7203 7983 9604 10644 12348 12418 14406 15966 18627 21609 24836 28812 31932 37254 43218 43463 55881 74508 86436 86926 111762 130389 173852 223524 260778 304241 391167 521556 608482 782334 912723 1216964 1564668 1825446 2129687 2738169 3650892 4259374 5476338 6389061 8518748 10952676 12778122 19167183 25556244 38334366 76668732