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77230720 = 275717239
BaseRepresentation
bin1001001101001…
…11001010000000
312101022201122001
410212213022000
5124232340340
611355153344
71625310310
oct446471200
9171281561
1077230720
113a65a646
1221a45854
1313000a68
14a385440
156ba829a
hex49a7280

77230720 has 64 divisors (see below), whose sum is σ = 211017600. Its totient is φ = 26477568.

The previous prime is 77230717. The next prime is 77230759. The reversal of 77230720 is 2703277.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×772307202 = 11929168223436800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4140 + ... + 13099.

It is an arithmetic number, because the mean of its divisors is an integer number (3297150).

Almost surely, 277230720 is an apocalyptic number.

77230720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77230720 is an abundant number, since it is smaller than the sum of its proper divisors (133786880).

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

77230720 is a wasteful number, since it uses less digits than its factorization.

77230720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17265 (or 17253 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 28.

The square root of 77230720 is about 8788.1010463012. The cubic root of 77230720 is about 425.8565792265.

Adding to 77230720 its reverse (2703277), we get a palindrome (79933997).

The spelling of 77230720 in words is "seventy-seven million, two hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 17239 34478 68956 86195 120673 137912 172390 241346 275824 344780 482692 551648 603365 689560 965384 1103296 1206730 1379120 1930768 2206592 2413460 2758240 3861536 4826920 5516480 7723072 9653840 11032960 15446144 19307680 38615360 77230720