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61116240 = 2435416211
BaseRepresentation
bin1110100100100…
…0111101010000
311021000000201110
43221020331100
5111121204430
610021533320
71341323313
oct351107520
9137000643
1061116240
1131553599
1218574240
13c87b073
14818c97a
1555737b0
hex3a48f50

61116240 has 80 divisors (see below), whose sum is σ = 194112576. Its totient is φ = 15897600.

The previous prime is 61116239. The next prime is 61116247. The reversal of 61116240 is 4261116.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61116247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6735 + ... + 12945.

Almost surely, 261116240 is an apocalyptic number.

61116240 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 61116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97056288).

61116240 is an abundant number, since it is smaller than the sum of its proper divisors (132996336).

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

61116240 is a wasteful number, since it uses less digits than its factorization.

61116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268 (or 6262 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 61116240 is about 7817.6876376586. The cubic root of 61116240 is about 393.8996025124.

Adding to 61116240 its reverse (4261116), we get a palindrome (65377356).

The spelling of 61116240 in words is "sixty-one million, one hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 6211 9840 12422 18633 24844 31055 37266 49688 62110 74532 93165 99376 124220 149064 186330 248440 254651 298128 372660 496880 509302 745320 763953 1018604 1273255 1490640 1527906 2037208 2546510 3055812 3819765 4074416 5093020 6111624 7639530 10186040 12223248 15279060 20372080 30558120 61116240