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61212480 = 263579109
BaseRepresentation
bin1110100110000…
…0011101000000
311021011220201220
43221200131000
5111132244410
610023555040
71342204020
oct351403500
9137156656
1061212480
113160992a
12185bba80
13c8b2b04
1481b5a80
155592070
hex3a60740

61212480 has 112 divisors (see below), whose sum is σ = 222138240. Its totient is φ = 13989888.

The previous prime is 61212469. The next prime is 61212493. The reversal of 61212480 is 8421216.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61212480.

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, 2166 + ... + 11274.

Almost surely, 261212480 is an apocalyptic number.

61212480 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 61212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111069120).

61212480 is an abundant number, since it is smaller than the sum of its proper divisors (160925760).

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

61212480 is a wasteful number, since it uses less digits than its factorization.

61212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9136 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 61212480 is about 7823.8404891715. The cubic root of 61212480 is about 394.1062525327.

Adding to 61212480 its reverse (8421216), we get a palindrome (69633696).

The spelling of 61212480 in words is "sixty-one million, two hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 9109 18218 27327 36436 45545 54654 63763 72872 91090 109308 127526 136635 145744 182180 191289 218616 255052 273270 291488 318815 364360 382578 437232 510104 546540 582976 637630 728720 765156 874464 956445 1020208 1093080 1275260 1457440 1530312 1748928 1912890 2040416 2186160 2550520 2914880 3060624 3825780 4080832 4372320 5101040 6121248 7651560 8744640 10202080 12242496 15303120 20404160 30606240 61212480