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61931340 = 223251737547
BaseRepresentation
bin1110110000111…
…1111101001100
311022112102211100
43230033331030
5111323300330
610051223100
71351256562
oct354177514
9138472740
1061931340
1131a5aa29
12188a7a90
13caa5083
148321a32
155685060
hex3b0ff4c

61931340 has 144 divisors (see below), whose sum is σ = 204658272. Its totient is φ = 15095808.

The previous prime is 61931329. The next prime is 61931369. The reversal of 61931340 is 4313916.

61931340 is a `hidden beast` number, since 619 + 3 + 1 + 3 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112947 + ... + 113493.

It is an arithmetic number, because the mean of its divisors is an integer number (1421238).

Almost surely, 261931340 is an apocalyptic number.

61931340 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 61931340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102329136).

61931340 is an abundant number, since it is smaller than the sum of its proper divisors (142726932).

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

61931340 is a wasteful number, since it uses less digits than its factorization.

61931340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 61931340 is about 7869.6467519197. The cubic root of 61931340 is about 395.6430054772.

The spelling of 61931340 in words is "sixty-one million, nine hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 37 45 51 60 68 74 85 90 102 111 148 153 170 180 185 204 222 255 306 333 340 370 444 510 547 555 612 629 666 740 765 1020 1094 1110 1258 1332 1530 1641 1665 1887 2188 2220 2516 2735 3060 3145 3282 3330 3774 4923 5470 5661 6290 6564 6660 7548 8205 9299 9435 9846 10940 11322 12580 16410 18598 18870 19692 20239 22644 24615 27897 28305 32820 37196 37740 40478 46495 49230 55794 56610 60717 80956 83691 92990 98460 101195 111588 113220 121434 139485 167382 182151 185980 202390 242868 278970 303585 334764 344063 364302 404780 418455 557940 607170 688126 728604 836910 910755 1032189 1214340 1376252 1673820 1720315 1821510 2064378 3096567 3440630 3643020 4128756 5160945 6193134 6881260 10321890 12386268 15482835 20643780 30965670 61931340