Search a number
-
+
74701620 = 223257101587
BaseRepresentation
bin1000111001111…
…01101100110100
312012120020100200
410130331230310
5123110422440
611225040500
71564644660
oct434755464
9165506320
1074701620
1139192484
1221026130
1312626856
149cc78a0
156858c30
hex473db34

74701620 has 144 divisors (see below), whose sum is σ = 261975168. Its totient is φ = 16876800.

The previous prime is 74701619. The next prime is 74701633. The reversal of 74701620 is 2610747.

It is a congruent 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, 126967 + ... + 127553.

It is an arithmetic number, because the mean of its divisors is an integer number (1819272).

Almost surely, 274701620 is an apocalyptic number.

74701620 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 74701620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130987584).

74701620 is an abundant number, since it is smaller than the sum of its proper divisors (187273548).

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

74701620 is a wasteful number, since it uses less digits than its factorization.

74701620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 74701620 is about 8643.0098923928. The cubic root of 74701620 is about 421.1563372785.

The spelling of 74701620 in words is "seventy-four million, seven hundred one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 404 420 505 587 606 630 707 909 1010 1174 1212 1260 1414 1515 1761 1818 2020 2121 2348 2828 2935 3030 3522 3535 3636 4109 4242 4545 5283 5870 6060 6363 7044 7070 8218 8484 8805 9090 10566 10605 11740 12327 12726 14140 16436 17610 18180 20545 21132 21210 24654 25452 26415 31815 35220 36981 41090 42420 49308 52830 59287 61635 63630 73962 82180 105660 118574 123270 127260 147924 177861 184905 237148 246540 296435 355722 369810 415009 533583 592870 711444 739620 830018 889305 1067166 1185740 1245027 1660036 1778610 2075045 2134332 2490054 2667915 3557220 3735081 4150090 4980108 5335830 6225135 7470162 8300180 10671660 12450270 14940324 18675405 24900540 37350810 74701620