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535088940 = 2235172272311
BaseRepresentation
bin11111111001001…
…100111100101100
31101021212100000220
4133321030330230
52043440321230
6125032451340
716155116031
oct3771147454
91337770026
10535088940
11255053271
1212b249b50
1386b1c499
14510cb388
1531e99d10
hex1fe4cf2c

535088940 has 96 divisors (see below), whose sum is σ = 1594059264. Its totient is φ = 133647360.

The previous prime is 535088929. The next prime is 535088941. The reversal of 535088940 is 49880535.

535088940 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 535088892 and 535088901.

It is not an unprimeable number, because it can be changed into a prime (535088941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230385 + ... + 232695.

It is an arithmetic number, because the mean of its divisors is an integer number (16604784).

Almost surely, 2535088940 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 535088940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797029632).

535088940 is an abundant number, since it is smaller than the sum of its proper divisors (1058970324).

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

535088940 is a wasteful number, since it uses less digits than its factorization.

535088940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 535088940 is about 23131.9895382996. The cubic root of 535088940 is about 811.8491210199.

The spelling of 535088940 in words is "five hundred thirty-five million, eighty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 227 255 340 454 510 681 908 1020 1135 1362 2270 2311 2724 3405 3859 4540 4622 6810 6933 7718 9244 11555 11577 13620 13866 15436 19295 23110 23154 27732 34665 38590 39287 46220 46308 57885 69330 77180 78574 115770 117861 138660 157148 196435 231540 235722 392870 471444 524597 589305 785740 1049194 1178610 1573791 2098388 2357220 2622985 3147582 5245970 6295164 7868955 8918149 10491940 15737910 17836298 26754447 31475820 35672596 44590745 53508894 89181490 107017788 133772235 178362980 267544470 535088940