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74929860 = 22345232011
BaseRepresentation
bin1000111011101…
…01011011000100
312012222211110000
410131311123010
5123140223420
611234001300
71566615255
oct435653304
9165884400
1074929860
1139328a05
1221116230
13126a66c5
149d46b2c
1568a1690
hex47756c4

74929860 has 120 divisors (see below), whose sum is σ = 245399616. Its totient is φ = 19103040.

The previous prime is 74929849. The next prime is 74929861. The reversal of 74929860 is 6892947.

It is a happy number.

It is a super-2 number, since 2×749298602 = 11228967839239200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74929861) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36255 + ... + 38265.

Almost surely, 274929860 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 74929860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122699808).

74929860 is an abundant number, since it is smaller than the sum of its proper divisors (170469756).

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

74929860 is a wasteful number, since it uses less digits than its factorization.

74929860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 74929860 is about 8656.2035558321. The cubic root of 74929860 is about 421.5848286101.

The spelling of 74929860 in words is "seventy-four million, nine hundred twenty-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 621 690 810 828 1035 1242 1380 1620 1863 2011 2070 2484 3105 3726 4022 4140 6033 6210 7452 8044 9315 10055 12066 12420 18099 18630 20110 24132 30165 36198 37260 40220 46253 54297 60330 72396 90495 92506 108594 120660 138759 162891 180990 185012 217188 231265 271485 277518 325782 361980 416277 462530 542970 555036 651564 693795 814455 832554 925060 1085940 1248831 1387590 1628910 1665108 2081385 2497662 2775180 3257820 3746493 4162770 4995324 6244155 7492986 8325540 12488310 14985972 18732465 24976620 37464930 74929860