Search a number
-
+
77121480 = 23353731723
BaseRepresentation
bin1001001100011…
…00011111001000
312101010011210010
410212030133020
5124220341410
611352551520
71624343652
oct446143710
9171104703
1077121480
113a595567
12219b25a0
1312c93117
14a3576d2
156b85c20
hex498c7c8

77121480 has 64 divisors (see below), whose sum is σ = 232119360. Its totient is φ = 20498688.

The previous prime is 77121467. The next prime is 77121481. The reversal of 77121480 is 8412177.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (77121481) 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, 43899 + ... + 45621.

It is an arithmetic number, because the mean of its divisors is an integer number (3626865).

Almost surely, 277121480 is an apocalyptic number.

It is an amenable number.

77121480 is an abundant number, since it is smaller than the sum of its proper divisors (154997880).

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

77121480 is a wasteful number, since it uses less digits than its factorization.

77121480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 77121480 is about 8781.8836248267. The cubic root of 77121480 is about 425.6556983514.

The spelling of 77121480 in words is "seventy-seven million, one hundred twenty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 373 746 1119 1492 1723 1865 2238 2984 3446 3730 4476 5169 5595 6892 7460 8615 8952 10338 11190 13784 14920 17230 20676 22380 25845 34460 41352 44760 51690 68920 103380 206760 642679 1285358 1928037 2570716 3213395 3856074 5141432 6426790 7712148 9640185 12853580 15424296 19280370 25707160 38560740 77121480