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370093020 = 2235112192683
BaseRepresentation
bin10110000011110…
…010101111011100
3221210101200011220
4112003302233130
51224220434040
6100420213340
712112511253
oct2603625734
9853350156
10370093020
1117a9a9400
12a3b3a250
135b89ca6b
143721b79a
15227572d0
hex160f2bdc

370093020 has 144 divisors (see below), whose sum is σ = 1199425920. Its totient is φ = 84965760.

The previous prime is 370093013. The next prime is 370093021. The reversal of 370093020 is 20390073.

370093020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (370093021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136599 + ... + 139281.

Almost surely, 2370093020 is an apocalyptic number.

370093020 is a gapful number since it is divisible by the number (30) 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 370093020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599712960).

370093020 is an abundant number, since it is smaller than the sum of its proper divisors (829332900).

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

370093020 is a wasteful number, since it uses less digits than its factorization.

370093020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 370093020 is about 19237.8018494837. The cubic root of 370093020 is about 717.9655919349.

The spelling of 370093020 in words is "three hundred seventy million, ninety-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 121 132 165 190 209 220 228 242 285 330 363 380 418 484 570 605 627 660 726 836 1045 1140 1210 1254 1452 1815 2090 2299 2420 2508 2683 3135 3630 4180 4598 5366 6270 6897 7260 8049 9196 10732 11495 12540 13415 13794 16098 22990 26830 27588 29513 32196 34485 40245 45980 50977 53660 59026 68970 80490 88539 101954 118052 137940 147565 152931 160980 177078 203908 254885 295130 305862 324643 354156 442695 509770 560747 590260 611724 649286 764655 885390 973929 1019540 1121494 1298572 1529310 1623215 1682241 1770780 1947858 2242988 2803735 3058620 3246430 3364482 3895716 4869645 5607470 6168217 6492860 6728964 8411205 9739290 11214940 12336434 16822410 18504651 19478580 24672868 30841085 33644820 37009302 61682170 74018604 92523255 123364340 185046510 370093020