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66602260 = 22517317189
BaseRepresentation
bin1111111000010…
…0010100010100
311122022202010101
43332010110110
5114022233020
610335303444
71436052454
oct376042424
9148282111
1066602260
113466029a
121a37ab84
1310a4c12a
148bb9d64
155ca900a
hex3f84514

66602260 has 96 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 23654400.

The previous prime is 66602251. The next prime is 66602269. The reversal of 66602260 is 6220666.

66602260 = T425 + T426 + ... + T780.

It is an interprime number because it is at equal distance from previous prime (66602251) and next prime (66602269).

It is a super-2 number, since 2×666022602 = 8871722074215200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66602269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 748296 + ... + 748384.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 266602260 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 66602260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

66602260 is an abundant number, since it is smaller than the sum of its proper divisors (90161900).

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

66602260 is a wasteful number, since it uses less digits than its factorization.

66602260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 66602260 is about 8161.0207694871. The cubic root of 66602260 is about 405.3495128463.

The spelling of 66602260 in words is "sixty-six million, six hundred two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 71 85 89 124 142 155 170 178 284 310 340 355 356 445 527 620 710 890 1054 1207 1420 1513 1780 2108 2201 2414 2635 2759 3026 4402 4828 5270 5518 6035 6052 6319 7565 8804 10540 11005 11036 12070 12638 13795 15130 22010 24140 25276 27590 30260 31595 37417 44020 46903 55180 63190 74834 93806 107423 126380 149668 187085 187612 195889 214846 234515 374170 391778 429692 469030 537115 748340 783556 938060 979445 1074230 1958890 2148460 3330113 3917780 6660226 13320452 16650565 33301130 66602260