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77026140 = 22385587
BaseRepresentation
bin1001001011101…
…01001101011100
312100221100000000
410211311031130
5124204314030
611350534300
71623466002
oct445651534
9170840000
1077026140
113a52a974
1221967390
1312c5b8c9
14a330a72
156b67860
hex497535c

77026140 has 108 divisors (see below), whose sum is σ = 243033336. Its totient is φ = 20505312.

The previous prime is 77026129. The next prime is 77026163. The reversal of 77026140 is 4162077.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130927 + ... + 131513.

Almost surely, 277026140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77026140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121516668).

77026140 is an abundant number, since it is smaller than the sum of its proper divisors (166007196).

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

77026140 is an equidigital number, since it uses as much as digits as its factorization.

77026140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 597 counting only the distinct ones).

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

The square root of 77026140 is about 8776.4537257368. The cubic root of 77026140 is about 425.4802230334.

The spelling of 77026140 in words is "seventy-seven million, twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 587 729 810 972 1174 1215 1458 1620 1761 2187 2348 2430 2916 2935 3522 3645 4374 4860 5283 5870 6561 7044 7290 8748 8805 10566 10935 11740 13122 14580 15849 17610 21132 21870 26244 26415 31698 32805 35220 43740 47547 52830 63396 65610 79245 95094 105660 131220 142641 158490 190188 237735 285282 316980 427923 475470 570564 713205 855846 950940 1283769 1426410 1711692 2139615 2567538 2852820 3851307 4279230 5135076 6418845 7702614 8558460 12837690 15405228 19256535 25675380 38513070 77026140