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66253080 = 23351747691
BaseRepresentation
bin1111110010111…
…1000100011000
311121200000010210
43330233010120
5113430044310
610324011120
71433066445
oct374570430
9147600123
1066253080
1134441a13
121a230aa0
131095920a
148b289cc
155c3a820
hex3f2f118

66253080 has 128 divisors (see below), whose sum is σ = 215239680. Its totient is φ = 16250880.

The previous prime is 66253079. The next prime is 66253123. The reversal of 66253080 is 8035266.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95535 + ... + 96225.

It is an arithmetic number, because the mean of its divisors is an integer number (1681560).

Almost surely, 266253080 is an apocalyptic number.

66253080 is a gapful number since it is divisible by the number (60) 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 66253080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107619840).

66253080 is an abundant number, since it is smaller than the sum of its proper divisors (148986600).

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

66253080 is a wasteful number, since it uses less digits than its factorization.

66253080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 66253080 is about 8139.5994987469. The cubic root of 66253080 is about 404.6398871798.

The spelling of 66253080 in words is "sixty-six million, two hundred fifty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 47 51 60 68 85 94 102 120 136 141 170 188 204 235 255 282 340 376 408 470 510 564 680 691 705 799 940 1020 1128 1382 1410 1598 1880 2040 2073 2397 2764 2820 3196 3455 3995 4146 4794 5528 5640 6392 6910 7990 8292 9588 10365 11747 11985 13820 15980 16584 19176 20730 23494 23970 27640 31960 32477 35241 41460 46988 47940 58735 64954 70482 82920 93976 95880 97431 117470 129908 140964 162385 176205 194862 234940 259816 281928 324770 352410 389724 469880 487155 552109 649540 704820 779448 974310 1104218 1299080 1409640 1656327 1948620 2208436 2760545 3312654 3897240 4416872 5521090 6625308 8281635 11042180 13250616 16563270 22084360 33126540 66253080