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74061416 = 231113411579
BaseRepresentation
bin1000110101000…
…01011001101000
312011100201011102
410122201121220
5122424431131
611203220532
71556340332
oct432413150
9164321142
1074061416
1138895490
1220977748
1312461330
149b9c452
15677e1cb
hex46a1668

74061416 has 64 divisors (see below), whose sum is σ = 167227200. Its totient is φ = 30297600.

The previous prime is 74061413. The next prime is 74061509. The reversal of 74061416 is 61416047.

74061416 = 13592 + 13602 + ... + 13972.

It is not an unprimeable number, because it can be changed into a prime (74061413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46115 + ... + 47693.

It is an arithmetic number, because the mean of its divisors is an integer number (2612925).

Almost surely, 274061416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74061416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83613600).

74061416 is an abundant number, since it is smaller than the sum of its proper divisors (93165784).

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

74061416 is a wasteful number, since it uses less digits than its factorization.

74061416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 74061416 is about 8605.8942591691. The cubic root of 74061416 is about 419.9497596746.

The spelling of 74061416 in words is "seventy-four million, sixty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 13 22 26 41 44 52 82 88 104 143 164 286 328 451 533 572 902 1066 1144 1579 1804 2132 3158 3608 4264 5863 6316 11726 12632 17369 20527 23452 34738 41054 46904 64739 69476 82108 129478 138952 164216 225797 258956 451594 517912 712129 841607 903188 1424258 1683214 1806376 2848516 3366428 5697032 6732856 9257677 18515354 37030708 74061416