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661366420 = 2251113713257
BaseRepresentation
bin100111011010111…
…010011010010100
31201002110220011121
4213122322122110
52323302211140
6145343213324
722250343661
oct4732723224
91632426147
10661366420
1130a362420
121655a7244
13a70337a0
1463b9ca68
153d0e064a
hex276ba694

661366420 has 96 divisors (see below), whose sum is σ = 1655168256. Its totient is φ = 218803200.

The previous prime is 661366411. The next prime is 661366423. The reversal of 661366420 is 24663166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661366423) 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, 201432 + ... + 204688.

It is an arithmetic number, because the mean of its divisors is an integer number (17241336).

Almost surely, 2661366420 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 661366420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827584128).

661366420 is an abundant number, since it is smaller than the sum of its proper divisors (993801836).

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

661366420 is a wasteful number, since it uses less digits than its factorization.

661366420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 661366420 is about 25717.0453201763. The cubic root of 661366420 is about 871.2592062300.

The spelling of 661366420 in words is "six hundred sixty-one million, three hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 71 110 130 142 143 220 260 284 286 355 572 710 715 781 923 1420 1430 1562 1846 2860 3124 3257 3692 3905 4615 6514 7810 9230 10153 13028 15620 16285 18460 20306 32570 35827 40612 42341 50765 65140 71654 84682 101530 143308 169364 179135 203060 211705 231247 358270 423410 462494 465751 716540 846820 924988 931502 1156235 1863004 2312470 2328755 2543717 3006211 4624940 4657510 5087434 6012422 9315020 10174868 12024844 12718585 15031055 25437170 30062110 33068321 50874340 60124220 66136642 132273284 165341605 330683210 661366420