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536260240 = 245173710657
BaseRepresentation
bin11111111101101…
…010111010010000
31101101001211202101
4133331222322100
52044240311430
6125113530144
716201064635
oct3775527220
91341054671
10536260240
1125578328a
1212b713954
138713c669
145131418c
153212bdca
hex1ff6ae90

536260240 has 80 divisors (see below), whose sum is σ = 1355953392. Its totient is φ = 196411392.

The previous prime is 536260217. The next prime is 536260243. The reversal of 536260240 is 42062635.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 430336 + 535829904 = 656^2 + 23148^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 536260199 and 536260208.

It is not an unprimeable number, because it can be changed into a prime (536260243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44992 + ... + 55648.

Almost surely, 2536260240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536260240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677976696).

536260240 is an abundant number, since it is smaller than the sum of its proper divisors (819693152).

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

536260240 is a wasteful number, since it uses less digits than its factorization.

536260240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10724 (or 10718 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 536260240 is about 23157.2934515241. The cubic root of 536260240 is about 812.4410636540.

The spelling of 536260240 in words is "five hundred thirty-six million, two hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 37 40 68 74 80 85 136 148 170 185 272 296 340 370 592 629 680 740 1258 1360 1480 2516 2960 3145 5032 6290 10064 10657 12580 21314 25160 42628 50320 53285 85256 106570 170512 181169 213140 362338 394309 426280 724676 788618 852560 905845 1449352 1577236 1811690 1971545 2898704 3154472 3623380 3943090 6308944 6703253 7246760 7886180 13406506 14493520 15772360 26813012 31544720 33516265 53626024 67032530 107252048 134065060 268130120 536260240