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61412280 = 23353071667
BaseRepresentation
bin1110101001000…
…1001110111000
311021120001210220
43222101032320
5111210143110
610032140040
71343665356
oct352211670
9137501726
1061412280
1131735a56
1218697620
13c952a37
1482287d6
1555d1370
hex3a913b8

61412280 has 64 divisors (see below), whose sum is σ = 184947840. Its totient is φ = 16313472.

The previous prime is 61412257. The next prime is 61412303. The reversal of 61412280 is 8221416.

61412280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61412257) and next prime (61412303).

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 61412280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36007 + ... + 37673.

It is an arithmetic number, because the mean of its divisors is an integer number (2889810).

Almost surely, 261412280 is an apocalyptic number.

61412280 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 61412280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92473920).

61412280 is an abundant number, since it is smaller than the sum of its proper divisors (123535560).

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

61412280 is a wasteful number, since it uses less digits than its factorization.

61412280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1984 counting only the distinct ones).

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

The square root of 61412280 is about 7836.5987520097. The cubic root of 61412280 is about 394.5345797379.

Adding to 61412280 its reverse (8221416), we get a palindrome (69633696).

The spelling of 61412280 in words is "sixty-one million, four hundred twelve thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 614 921 1228 1535 1667 1842 2456 3070 3334 3684 4605 5001 6140 6668 7368 8335 9210 10002 12280 13336 16670 18420 20004 25005 33340 36840 40008 50010 66680 100020 200040 511769 1023538 1535307 2047076 2558845 3070614 4094152 5117690 6141228 7676535 10235380 12282456 15353070 20470760 30706140 61412280