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74001480 = 23357372381
BaseRepresentation
bin1000110100100…
…10110001001000
312011020122221120
410122102301020
5122421021410
611202035240
71556000520
oct432226110
9164218846
1074001480
1138854453
1220948b20
131243cc77
149b84680
15676b570
hex4692c48

74001480 has 128 divisors (see below), whose sum is σ = 260686080. Its totient is φ = 16450560.

The previous prime is 74001469. The next prime is 74001497. The reversal of 74001480 is 8410047.

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 74001480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29890 + ... + 32270.

It is an arithmetic number, because the mean of its divisors is an integer number (2036610).

Almost surely, 274001480 is an apocalyptic number.

74001480 is a gapful number since it is divisible by the number (70) 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 74001480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130343040).

74001480 is an abundant number, since it is smaller than the sum of its proper divisors (186684600).

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

74001480 is a wasteful number, since it uses less digits than its factorization.

74001480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 74001480 is about 8602.4112898652. The cubic root of 74001480 is about 419.8364442532.

The spelling of 74001480 in words is "seventy-four million, one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2381 2590 3108 3885 4440 4762 5180 6216 7143 7770 9524 10360 11905 14286 15540 16667 19048 23810 28572 31080 33334 35715 47620 50001 57144 66668 71430 83335 88097 95240 100002 133336 142860 166670 176194 200004 250005 264291 285720 333340 352388 400008 440485 500010 528582 616679 666680 704776 880970 1000020 1057164 1233358 1321455 1761940 1850037 2000040 2114328 2466716 2642910 3083395 3523880 3700074 4933432 5285820 6166790 7400148 9250185 10571640 12333580 14800296 18500370 24667160 37000740 74001480