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661605420 = 223572954319
BaseRepresentation
bin100111011011110…
…100110000101100
31201002221001000110
4213123310300230
52323332333140
6145352300020
722252360530
oct4733646054
91632831013
10661605420
1130a505a43
121656a1610
13a70b84c8
1463c21bc0
153d13b380
hex276f4c2c

661605420 has 96 divisors (see below), whose sum is σ = 2190182400. Its totient is φ = 146006784.

The previous prime is 661605407. The next prime is 661605421. The reversal of 661605420 is 24506166.

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

It is not an unprimeable number, because it can be changed into a prime (661605421) 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, 14980 + ... + 39339.

It is an arithmetic number, because the mean of its divisors is an integer number (22814400).

Almost surely, 2661605420 is an apocalyptic number.

661605420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

661605420 is an abundant number, since it is smaller than the sum of its proper divisors (1528576980).

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

661605420 is a wasteful number, since it uses less digits than its factorization.

661605420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54367 (or 54365 counting only the distinct ones).

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

The square root of 661605420 is about 25721.6916239971. The cubic root of 661605420 is about 871.3641434560.

The spelling of 661605420 in words is "six hundred sixty-one million, six hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 4060 6090 12180 54319 108638 162957 217276 271595 325914 380233 543190 651828 760466 814785 1086380 1140699 1520932 1575251 1629570 1901165 2281398 3150502 3259140 3802330 4562796 4725753 5703495 6301004 7604660 7876255 9451506 11026757 11406990 15752510 18903012 22053514 22813980 23628765 31505020 33080271 44107028 47257530 55133785 66160542 94515060 110267570 132321084 165401355 220535140 330802710 661605420