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61969590 = 23351723587
BaseRepresentation
bin1110110001100…
…1010010110110
311022121101022000
43230121102312
5111331011330
610052120130
71351506234
oct354312266
9138541260
1061969590
1131a86741
1218906046
13cab95c7
148331954
155691560
hex3b194b6

61969590 has 128 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 14851584.

The previous prime is 61969559. The next prime is 61969619. The reversal of 61969590 is 9596916.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105277 + ... + 105863.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 261969590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61969590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

61969590 is an abundant number, since it is smaller than the sum of its proper divisors (120921930).

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

61969590 is a wasteful number, since it uses less digits than its factorization.

61969590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 61969590 is about 7872.0766002371. The cubic root of 61969590 is about 395.7244409856.

The spelling of 61969590 in words is "sixty-one million, nine hundred sixty-nine thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 27 30 34 45 46 51 54 69 85 90 102 115 135 138 153 170 207 230 255 270 306 345 391 414 459 510 587 621 690 765 782 918 1035 1173 1174 1242 1530 1761 1955 2070 2295 2346 2935 3105 3519 3522 3910 4590 5283 5865 5870 6210 7038 8805 9979 10557 10566 11730 13501 15849 17595 17610 19958 21114 26415 27002 29937 31698 35190 40503 49895 52785 52830 59874 67505 79245 81006 89811 99790 105570 121509 135010 149685 158490 179622 202515 229517 243018 269433 299370 364527 405030 449055 459034 538866 607545 688551 729054 898110 1147585 1215090 1347165 1377102 1822635 2065653 2295170 2694330 3442755 3645270 4131306 6196959 6885510 10328265 12393918 20656530 30984795 61969590