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270690552 = 233311210357
BaseRepresentation
bin10000001000100…
…110100011111000
3200212100111122000
4100020212203320
51023244044202
642505501000
76464555166
oct2010464370
9625314560
10270690552
11129885900
12767a1760
1344108232
1427d44236
1518b6e91c
hex102268f8

270690552 has 96 divisors (see below), whose sum is σ = 826568400. Its totient is φ = 82019520.

The previous prime is 270690533. The next prime is 270690593. The reversal of 270690552 is 255096072.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20958 + ... + 31314.

Almost surely, 2270690552 is an apocalyptic number.

270690552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270690552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413284200).

270690552 is an abundant number, since it is smaller than the sum of its proper divisors (555877848).

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

270690552 is a wasteful number, since it uses less digits than its factorization.

270690552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10394 (or 10373 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 270690552 is about 16452.6761349028. The cubic root of 270690552 is about 646.8809561308.

The spelling of 270690552 in words is "two hundred seventy million, six hundred ninety thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4356 6534 8712 10357 13068 20714 26136 31071 41428 62142 82856 93213 113927 124284 186426 227854 248568 279639 341781 372852 455708 559278 683562 745704 911416 1025343 1118556 1253197 1367124 2050686 2237112 2506394 2734248 3076029 3759591 4101372 5012788 6152058 7519182 8202744 10025576 11278773 12304116 15038364 22557546 24608232 30076728 33836319 45115092 67672638 90230184 135345276 270690552