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61189440 = 2635134903
BaseRepresentation
bin1110100101101…
…0110101000000
311021010202010120
43221122311000
5111131030230
610023300240
71342046604
oct351326500
9137122116
1061189440
11315a3594
12185aa680
13c8a5490
1481ab504
15558a310
hex3a5ad40

61189440 has 112 divisors (see below), whose sum is σ = 209263488. Its totient is φ = 15058944.

The previous prime is 61189399. The next prime is 61189451. The reversal of 61189440 is 4498116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10029 + ... + 14931.

It is an arithmetic number, because the mean of its divisors is an integer number (1868424).

Almost surely, 261189440 is an apocalyptic number.

61189440 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 61189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104631744).

61189440 is an abundant number, since it is smaller than the sum of its proper divisors (148074048).

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

61189440 is a wasteful number, since it uses less digits than its factorization.

61189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 61189440 is about 7822.3679279359. The cubic root of 61189440 is about 394.0567999399.

The spelling of 61189440 in words is "sixty-one million, one hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 4903 6240 9806 12480 14709 19612 24515 29418 39224 49030 58836 63739 73545 78448 98060 117672 127478 147090 156896 191217 196120 235344 254956 294180 313792 318695 382434 392240 470688 509912 588360 637390 764868 784480 941376 956085 1019824 1176720 1274780 1529736 1568960 1912170 2039648 2353440 2549560 3059472 3824340 4079296 4706880 5099120 6118944 7648680 10198240 12237888 15297360 20396480 30594720 61189440