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74229840 = 24325131787
BaseRepresentation
bin1000110110010…
…10100001010000
312011200021012100
410123022201100
5123000323330
611211000400
71560641346
oct433124120
9164607170
1074229840
113899aa83
1220a39100
13124bcba9
149c03996
1567b4060
hex46ca850

74229840 has 120 divisors (see below), whose sum is σ = 251510688. Its totient is φ = 19618560.

The previous prime is 74229829. The next prime is 74229851. The reversal of 74229840 is 4892247.

It is an interprime number because it is at equal distance from previous prime (74229829) and next prime (74229851).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74229795 and 74229804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93927 + ... + 94713.

Almost surely, 274229840 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 74229840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125755344).

74229840 is an abundant number, since it is smaller than the sum of its proper divisors (177280848).

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

74229840 is a wasteful number, since it uses less digits than its factorization.

74229840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 74229840 is about 8615.6740885435. The cubic root of 74229840 is about 420.2678563483.

The spelling of 74229840 in words is "seventy-four million, two hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 131 144 180 240 262 360 393 524 655 720 786 787 1048 1179 1310 1572 1574 1965 2096 2358 2361 2620 3144 3148 3930 3935 4716 4722 5240 5895 6288 6296 7083 7860 7870 9432 9444 10480 11790 11805 12592 14166 15720 15740 18864 18888 23580 23610 28332 31440 31480 35415 37776 47160 47220 56664 62960 70830 94320 94440 103097 113328 141660 188880 206194 283320 309291 412388 515485 566640 618582 824776 927873 1030970 1237164 1546455 1649552 1855746 2061940 2474328 3092910 3711492 4123880 4639365 4948656 6185820 7422984 8247760 9278730 12371640 14845968 18557460 24743280 37114920 74229840