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100074330 = 232519431361
BaseRepresentation
bin1011111011100…
…00001101011010
320222022022011200
411331300031122
5201104334310
613532535030
72323421616
oct575601532
9228268150
10100074330
1151542364
1229621476
131796b5a5
14d410346
158bbb9c0
hex5f7035a

100074330 has 96 divisors (see below), whose sum is σ = 280463040. Its totient is φ = 24675840.

The previous prime is 100074329. The next prime is 100074353. The reversal of 100074330 is 33470001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72850 + ... + 74210.

It is an arithmetic number, because the mean of its divisors is an integer number (2921490).

Almost surely, 2100074330 is an apocalyptic number.

100074330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100074330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140231520).

100074330 is an abundant number, since it is smaller than the sum of its proper divisors (180388710).

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

100074330 is a wasteful number, since it uses less digits than its factorization.

100074330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 100074330 is about 10003.7158096379. The cubic root of 100074330 is about 464.2738579784.

The spelling of 100074330 in words is "one hundred million, seventy-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 43 45 57 86 90 95 114 129 171 190 215 258 285 342 387 430 570 645 774 817 855 1290 1361 1634 1710 1935 2451 2722 3870 4083 4085 4902 6805 7353 8166 8170 12249 12255 13610 14706 20415 24498 24510 25859 36765 40830 51718 58523 61245 73530 77577 117046 122490 129295 155154 175569 232731 258590 292615 351138 387885 465462 526707 585230 775770 877845 1053414 1111937 1163655 1755690 2223874 2327310 2633535 3335811 5267070 5559685 6671622 10007433 11119370 16679055 20014866 33358110 50037165 100074330