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213054140 = 225133722147
BaseRepresentation
bin11001011001011…
…11001010111100
3112211220021100002
430230233022330
5414020213030
633050253432
75164634045
oct1454571274
9484807302
10213054140
11aa299802
125b427278
13351a8050
142041d8cc
1513a87245
hexcb2f2bc

213054140 has 48 divisors (see below), whose sum is σ = 494874912. Its totient is φ = 76536576.

The previous prime is 213054131. The next prime is 213054167. The reversal of 213054140 is 41450312.

213054140 is nontrivially palindromic in base 16.

213054140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2130541402 = 90784133142279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1454 + ... + 20693.

It is an arithmetic number, because the mean of its divisors is an integer number (10309894).

Almost surely, 2213054140 is an apocalyptic number.

213054140 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 213054140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247437456).

213054140 is an abundant number, since it is smaller than the sum of its proper divisors (281820772).

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

213054140 is a wasteful number, since it uses less digits than its factorization.

213054140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22206 (or 22204 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 213054140 is about 14596.3742073160. The cubic root of 213054140 is about 597.2598569285.

The spelling of 213054140 in words is "two hundred thirteen million, fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 22147 44294 88588 110735 221470 287911 442940 575822 819439 1151644 1439555 1638878 2879110 3277756 4097195 5758220 8194390 10652707 16388780 21305414 42610828 53263535 106527070 213054140