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2930240700 = 22325217191519
BaseRepresentation
bin1010111010100111…
…1110110010111100
321120012202122120100
42232221332302330
522000120200300
61202433121100
7132420430542
oct25651766274
97505678510
102930240700
111274054232
126993b9190
133790cb44a
141db247d92
151223b4700
hexaea7ecbc

2930240700 has 108 divisors (see below), whose sum is σ = 9725002560. Its totient is φ = 735429120.

The previous prime is 2930240681. The next prime is 2930240701. The reversal of 2930240700 is 70420392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930240701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80460 + ... + 111059.

It is an arithmetic number, because the mean of its divisors is an integer number (90046320).

Almost surely, 22930240700 is an apocalyptic number.

2930240700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2930240700 is an abundant number, since it is smaller than the sum of its proper divisors (6794761860).

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

2930240700 is a wasteful number, since it uses less digits than its factorization.

2930240700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191556 (or 191546 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2930240700 is about 54131.6977380167. The cubic root of 2930240700 is about 1430.9828605876.

The spelling of 2930240700 in words is "two billion, nine hundred thirty million, two hundred forty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 191519 383038 574557 766076 957595 1149114 1723671 1915190 2298228 2872785 3255823 3447342 3830380 4787975 5745570 6511646 6894684 8618355 9575950 9767469 11491140 13023292 14363925 16279115 17236710 19151900 19534938 28727850 29302407 32558230 34473420 39069876 43091775 48837345 57455700 58604814 65116460 81395575 86183550 97674690 117209628 146512035 162791150 172367100 195349380 244186725 293024070 325582300 488373450 586048140 732560175 976746900 1465120350 2930240700