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77346990 = 23257217539
BaseRepresentation
bin1001001110000…
…11100010101110
312101112122010100
410213003202232
5124300100430
611401451530
71626303300
oct447034256
9171478110
1077346990
113a729a36
1221aa0ba6
1313041966
14a3b5970
156bcc960
hex49c38ae

77346990 has 72 divisors (see below), whose sum is σ = 233948520. Its totient is φ = 17678304.

The previous prime is 77346989. The next prime is 77347001. The reversal of 77346990 is 9964377.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4360 + ... + 13179.

It is an arithmetic number, because the mean of its divisors is an integer number (3249285).

Almost surely, 277346990 is an apocalyptic number.

77346990 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

77346990 is an abundant number, since it is smaller than the sum of its proper divisors (156601530).

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

77346990 is a wasteful number, since it uses less digits than its factorization.

77346990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17566 (or 17556 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 77346990 is about 8794.7137531588. The cubic root of 77346990 is about 426.0701795376.

The spelling of 77346990 in words is "seventy-seven million, three hundred forty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 17539 35078 52617 87695 105234 122773 157851 175390 245546 263085 315702 368319 526170 613865 736638 789255 859411 1104957 1227730 1578510 1718822 1841595 2209914 2578233 3683190 4297055 5156466 5524785 7734699 8594110 11049570 12891165 15469398 25782330 38673495 77346990