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61349700 = 22352375527
BaseRepresentation
bin1110101000000…
…1111101000100
311021102212222010
43222001331010
5111201142300
610030534220
71343315046
oct352017504
9137385863
1061349700
11316a2a35
1218667370
13c9303c9
14820da96
1555bca50
hex3a81f44

61349700 has 72 divisors (see below), whose sum is σ = 182335552. Its totient is φ = 15914880.

The previous prime is 61349693. The next prime is 61349749. The reversal of 61349700 is 794316.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8337 + ... + 13863.

Almost surely, 261349700 is an apocalyptic number.

61349700 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 61349700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91167776).

61349700 is an abundant number, since it is smaller than the sum of its proper divisors (120985852).

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

61349700 is a wasteful number, since it uses less digits than its factorization.

61349700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5581 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 61349700 is about 7832.6049306728. The cubic root of 61349700 is about 394.4005220477.

The spelling of 61349700 in words is "sixty-one million, three hundred forty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5527 5550 11054 11100 16581 22108 27635 33162 55270 66324 82905 110540 138175 165810 204499 276350 331620 408998 414525 552700 613497 817996 829050 1022495 1226994 1658100 2044990 2453988 3067485 4089980 5112475 6134970 10224950 12269940 15337425 20449900 30674850 61349700