Search a number
-
+
264212940 = 223518124329
BaseRepresentation
bin11111011111110…
…01000111001100
3200102011102000110
433233321013030
51020114303230
642115000020
76355526055
oct1757710714
9612142013
10264212940
11126161102
1274599010
134297aa24
142713972c
15182e04b0
hexfbf91cc

264212940 has 48 divisors (see below), whose sum is σ = 743914080. Its totient is φ = 70064640.

The previous prime is 264212911. The next prime is 264212953. The reversal of 264212940 is 49212462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 264212898 and 264212907.

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, 1305 + ... + 23024.

It is an arithmetic number, because the mean of its divisors is an integer number (15498210).

Almost surely, 2264212940 is an apocalyptic number.

264212940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264212940 is an abundant number, since it is smaller than the sum of its proper divisors (479701140).

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

264212940 is a wasteful number, since it uses less digits than its factorization.

264212940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24522 (or 24520 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 264212940 is about 16254.6282639745. The cubic root of 264212940 is about 641.6792975157.

The spelling of 264212940 in words is "two hundred sixty-four million, two hundred twelve thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 24329 48658 72987 97316 121645 145974 243290 291948 364935 486580 729870 1459740 4403549 8807098 13210647 17614196 22017745 26421294 44035490 52842588 66053235 88070980 132106470 264212940