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77021640 = 23325213949
BaseRepresentation
bin1001001011101…
…00000111001000
312100221002211100
410211310013020
5124204143030
611350501400
71623446613
oct445640710
9170832740
1077021640
113a527553
1221964860
1312c59847
14a32d17a
156b66360
hex49741c8

77021640 has 48 divisors (see below), whose sum is σ = 250321500. Its totient is φ = 20539008.

The previous prime is 77021621. The next prime is 77021647. The reversal of 77021640 is 4612077.

It can be written as a sum of positive squares in 2 ways, for example, as 76422564 + 599076 = 8742^2 + 774^2 .

It is not an unprimeable number, because it can be changed into a prime (77021647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106615 + ... + 107334.

Almost surely, 277021640 is an apocalyptic number.

It is an amenable number.

77021640 is an abundant number, since it is smaller than the sum of its proper divisors (173299860).

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

77021640 is a wasteful number, since it uses less digits than its factorization.

77021640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213966 (or 213959 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 77021640 is about 8776.1973542076. The cubic root of 77021640 is about 425.4719371091.

The spelling of 77021640 in words is "seventy-seven million, twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 213949 427898 641847 855796 1069745 1283694 1711592 1925541 2139490 2567388 3209235 3851082 4278980 5134776 6418470 7702164 8557960 9627705 12836940 15404328 19255410 25673880 38510820 77021640