Search a number
-
+
79901220 = 223571031847
BaseRepresentation
bin1001100001100…
…11001000100100
312120100101212110
410300303020210
5130423314340
611532321020
71660102110
oct460631044
9176311773
1079901220
1141113a73
1222913170
1313727439
14a87c740
157034680
hex4c33224

79901220 has 96 divisors (see below), whose sum is σ = 258306048. Its totient is φ = 18076032.

The previous prime is 79901219. The next prime is 79901233. The reversal of 79901220 is 2210997.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 42337 + ... + 44183.

It is an arithmetic number, because the mean of its divisors is an integer number (2690688).

Almost surely, 279901220 is an apocalyptic number.

79901220 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 79901220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129153024).

79901220 is an abundant number, since it is smaller than the sum of its proper divisors (178404828).

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

79901220 is a wasteful number, since it uses less digits than its factorization.

79901220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 79901220 is about 8938.7482345125. The cubic root of 79901220 is about 430.7095190814.

The spelling of 79901220 in words is "seventy-nine million, nine hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 103 105 140 206 210 309 412 420 515 618 721 1030 1236 1442 1545 1847 2060 2163 2884 3090 3605 3694 4326 5541 6180 7210 7388 8652 9235 10815 11082 12929 14420 18470 21630 22164 25858 27705 36940 38787 43260 51716 55410 64645 77574 110820 129290 155148 190241 193935 258580 380482 387870 570723 760964 775740 951205 1141446 1331687 1902410 2282892 2663374 2853615 3804820 3995061 5326748 5707230 6658435 7990122 11414460 13316870 15980244 19975305 26633740 39950610 79901220