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80421264 = 24327117253
BaseRepresentation
bin1001100101100…
…10000110010000
312121022211020100
410302302012100
5131041440024
611551412400
71664366220
oct462620620
9177284210
1080421264
1141439760
1222b24100
131387a061
14a976080
1570d87c9
hex4cb2190

80421264 has 120 divisors (see below), whose sum is σ = 280642752. Its totient is φ = 20885760.

The previous prime is 80421259. The next prime is 80421269. The reversal of 80421264 is 46212408.

It is an interprime number because it is at equal distance from previous prime (80421259) and next prime (80421269).

It is not an unprimeable number, because it can be changed into a prime (80421269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7462 + ... + 14714.

Almost surely, 280421264 is an apocalyptic number.

80421264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80421264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140321376).

80421264 is an abundant number, since it is smaller than the sum of its proper divisors (200221488).

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

80421264 is a wasteful number, since it uses less digits than its factorization.

80421264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7285 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 80421264 is about 8967.7903632946. The cubic root of 80421264 is about 431.6419358100.

Subtracting from 80421264 its reverse (46212408), we obtain a triangular number (34208856 = T8271).

The spelling of 80421264 in words is "eighty million, four hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 7253 11088 14506 21759 29012 43518 50771 58024 65277 79783 87036 101542 116048 130554 152313 159566 174072 203084 239349 261108 304626 319132 348144 406168 456939 478698 522216 558481 609252 638264 718047 812336 913878 957396 1044432 1116962 1218504 1276528 1436094 1675443 1827756 1914792 2233924 2437008 2872188 3350886 3655512 3829584 4467848 5026329 5744376 6701772 7311024 8935696 10052658 11488752 13403544 20105316 26807088 40210632 80421264