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213087534 = 23112292349
BaseRepresentation
bin11001011001101…
…11010100101110
3112211221222010220
430230313110232
5414022300114
633051112210
75165133312
oct1454672456
9484858126
10213087534
11aa311900
125b442666
13351ba2ca
142042bb42
1513a920a9
hexcb3752e

213087534 has 72 divisors (see below), whose sum is σ = 486540600. Its totient is φ = 62166720.

The previous prime is 213087529. The next prime is 213087547. The reversal of 213087534 is 435780312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213087495 and 213087504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 610392 + ... + 610740.

Almost surely, 2213087534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213087534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243270300).

213087534 is an abundant number, since it is smaller than the sum of its proper divisors (273453066).

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

213087534 is a wasteful number, since it uses less digits than its factorization.

213087534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 213087534 is about 14597.5180767143. The cubic root of 213087534 is about 597.2910600360.

The spelling of 213087534 in words is "two hundred thirteen million, eighty-seven thousand, five hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 242 319 349 363 638 698 726 841 957 1047 1682 1914 2094 2523 3509 3839 5046 7018 7678 9251 10121 10527 11517 18502 20242 21054 23034 27753 30363 42229 55506 60726 84458 101761 111331 126687 203522 222662 253374 293509 305283 333993 587018 610566 667986 880527 1224641 1761054 2449282 3228599 3673923 6457198 7347846 9685797 19371594 35514589 71029178 106543767 213087534