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61407420 = 223537139199
BaseRepresentation
bin1110101001000…
…0000010111100
311021112211010220
43222100002330
5111210014140
610032101340
71343645244
oct352200274
9137484126
1061407420
1131732338
1218694850
13c950769
148226b24
1555cebd0
hex3a900bc

61407420 has 96 divisors (see below), whose sum is σ = 178752000. Its totient is φ = 15738624.

The previous prime is 61407371. The next prime is 61407431. The reversal of 61407420 is 2470416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308481 + ... + 308679.

It is an arithmetic number, because the mean of its divisors is an integer number (1862000).

Almost surely, 261407420 is an apocalyptic number.

61407420 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 61407420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89376000).

61407420 is an abundant number, since it is smaller than the sum of its proper divisors (117344580).

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

61407420 is a wasteful number, since it uses less digits than its factorization.

61407420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 61407420 is about 7836.2886623707. The cubic root of 61407420 is about 394.5241720006.

Adding to 61407420 its reverse (2470416), we get a palindrome (63877836).

The spelling of 61407420 in words is "sixty-one million, four hundred seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 139 148 185 199 222 278 370 398 417 444 555 556 597 695 740 796 834 995 1110 1194 1390 1668 1990 2085 2220 2388 2780 2985 3980 4170 5143 5970 7363 8340 10286 11940 14726 15429 20572 22089 25715 27661 29452 30858 36815 44178 51430 55322 61716 73630 77145 82983 88356 102860 110445 110644 138305 147260 154290 165966 220890 276610 308580 331932 414915 441780 553220 829830 1023457 1659660 2046914 3070371 4093828 5117285 6140742 10234570 12281484 15351855 20469140 30703710 61407420