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77490 = 2335741
BaseRepresentation
bin10010111010110010
310221022000
4102322302
54434430
61354430
7441630
oct227262
9127260
1077490
1153246
1238a16
132936a
1420350
1517e60
hex12eb2

77490 has 64 divisors (see below), whose sum is σ = 241920. Its totient is φ = 17280.

The previous prime is 77489. The next prime is 77491. The reversal of 77490 is 9477.

It is an interprime number because it is at equal distance from previous prime (77489) and next prime (77491).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1870 + ... + 1910.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

277490 is an apocalyptic number.

77490 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

77490 is an abundant number, since it is smaller than the sum of its proper divisors (164430).

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

77490 is a wasteful number, since it uses less digits than its factorization.

77490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 77490 is about 278.3702570319. The cubic root of 77490 is about 42.6332610700.

The spelling of 77490 in words is "seventy-seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 54 63 70 82 90 105 123 126 135 189 205 210 246 270 287 315 369 378 410 574 615 630 738 861 945 1107 1230 1435 1722 1845 1890 2214 2583 2870 3690 4305 5166 5535 7749 8610 11070 12915 15498 25830 38745 77490