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213134740 = 225713181647
BaseRepresentation
bin11001011010000…
…10110110010100
3112212001100220021
430231002312110
5414030302430
633052114524
75165421040
oct1455026624
9485040807
10213134740
11aa344315
125b465a44
1335205940
1420441020
1513aa107a
hexcb42d94

213134740 has 96 divisors (see below), whose sum is σ = 554770944. Its totient is φ = 66977280.

The previous prime is 213134737. The next prime is 213134743. The reversal of 213134740 is 47431312.

213134740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213134737) and next prime (213134743).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213134743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329097 + ... + 329743.

It is an arithmetic number, because the mean of its divisors is an integer number (5778864).

Almost surely, 2213134740 is an apocalyptic number.

213134740 is a gapful number since it is divisible by the number (20) 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 213134740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277385472).

213134740 is an abundant number, since it is smaller than the sum of its proper divisors (341636204).

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

213134740 is a wasteful number, since it uses less digits than its factorization.

213134740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 213134740 is about 14599.1349058771. The cubic root of 213134740 is about 597.3351634136.

The spelling of 213134740 in words is "two hundred thirteen million, one hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 181 182 260 362 364 455 647 724 905 910 1267 1294 1810 1820 2353 2534 2588 3235 3620 4529 4706 5068 6335 6470 8411 9058 9412 11765 12670 12940 16471 16822 18116 22645 23530 25340 32942 33644 42055 45290 47060 58877 65884 82355 84110 90580 117107 117754 164710 168220 234214 235508 294385 329420 468428 585535 588770 819749 1171070 1177540 1522391 1639498 2342140 3044782 3278996 4098745 6089564 7611955 8197490 10656737 15223910 16394980 21313474 30447820 42626948 53283685 106567370 213134740