Search a number
-
+
826260240 = 243513264827
BaseRepresentation
bin110001001111111…
…011101100010000
32010120202100222010
4301033323230100
53143010311430
6213553342520
726322044661
oct6117735420
92116670863
10826260240
11394447603
121b0867a40
131022488b0
147ba43368
154c812cb0
hex313fbb10

826260240 has 80 divisors (see below), whose sum is σ = 2758448448. Its totient is φ = 203386368.

The previous prime is 826260233. The next prime is 826260287. The reversal of 826260240 is 42062628.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 826260198 and 826260207.

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, 129294 + ... + 135533.

Almost surely, 2826260240 is an apocalyptic number.

826260240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

826260240 is an abundant number, since it is smaller than the sum of its proper divisors (1932188208).

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

826260240 is a wasteful number, since it uses less digits than its factorization.

826260240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264856 (or 264850 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 826260240 is about 28744.7428236886. The cubic root of 826260240 is about 938.3660462928.

The spelling of 826260240 in words is "eight hundred twenty-six million, two hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 264827 529654 794481 1059308 1324135 1588962 2118616 2648270 3177924 3442751 3972405 4237232 5296540 6355848 6885502 7944810 10328253 10593080 12711696 13771004 15889620 17213755 20656506 21186160 27542008 31779240 34427510 41313012 51641265 55084016 63558480 68855020 82626024 103282530 137710040 165252048 206565060 275420080 413130120 826260240