Search a number
-
+
270411372 = 22357113613
BaseRepresentation
bin10000000111100…
…010011001101100
3200211211022200000
4100013202121230
51023211130442
642455504300
76462313230
oct2007423154
9624738600
10270411372
11129705080
1276688090
134403b13a
1427cb05c0
1518b16d4c
hex101e266c

270411372 has 144 divisors (see below), whose sum is σ = 884013312. Its totient is φ = 70217280.

The previous prime is 270411371. The next prime is 270411377. The reversal of 270411372 is 273114072.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270411371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73038 + ... + 76650.

Almost surely, 2270411372 is an apocalyptic number.

270411372 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 270411372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442006656).

270411372 is an abundant number, since it is smaller than the sum of its proper divisors (613601940).

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

270411372 is a wasteful number, since it uses less digits than its factorization.

270411372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 270411372 is about 16444.1896121396. The cubic root of 270411372 is about 646.6584901128.

The spelling of 270411372 in words is "two hundred seventy million, four hundred eleven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 243 252 297 308 324 378 396 462 486 567 594 693 756 891 924 972 1134 1188 1386 1701 1782 2079 2268 2673 2772 3402 3564 3613 4158 5346 6237 6804 7226 8316 10692 10839 12474 14452 18711 21678 24948 25291 32517 37422 39743 43356 50582 65034 74844 75873 79486 97551 101164 119229 130068 151746 158972 195102 227619 238458 278201 292653 303492 357687 390204 455238 476916 556402 585306 682857 715374 834603 877959 910476 1073061 1112804 1170612 1365714 1430748 1669206 1755918 2048571 2146122 2503809 2731428 3219183 3338412 3511836 4097142 4292244 5007618 6145713 6438366 7511427 8194284 9657549 10015236 12291426 12876732 15022854 19315098 22534281 24582852 30045708 38630196 45068562 67602843 90137124 135205686 270411372