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107557470 = 23451773107
BaseRepresentation
bin1100110100100…
…11001001011110
321111101111010000
412122103021132
5210013314340
614401155130
72444136426
oct632231136
9244344100
10107557470
1155793579
123002baa6
131938b697
14103db486
159698d30
hex669325e

107557470 has 160 divisors (see below), whose sum is σ = 313318368. Its totient is φ = 26376192.

The previous prime is 107557447. The next prime is 107557481. The reversal of 107557470 is 74755701.

107557470 is a `hidden beast` number, since 10 + 7 + 5 + 574 + 70 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1005157 + ... + 1005263.

Almost surely, 2107557470 is an apocalyptic number.

107557470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107557470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156659184).

107557470 is an abundant number, since it is smaller than the sum of its proper divisors (205760898).

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

107557470 is a wasteful number, since it uses less digits than its factorization.

107557470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 107557470 is about 10370.9917558544. The cubic root of 107557470 is about 475.5689875922.

It can be divided in two parts, 10755 and 7470, that added together give a square (18225 = 1352).

The spelling of 107557470 in words is "one hundred seven million, five hundred fifty-seven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 73 81 85 90 102 107 135 146 153 162 170 214 219 255 270 306 321 365 405 438 459 510 535 642 657 730 765 810 918 963 1070 1095 1241 1314 1377 1530 1605 1819 1926 1971 2190 2295 2482 2754 2889 3210 3285 3638 3723 3942 4590 4815 5457 5778 5913 6205 6570 6885 7446 7811 8667 9095 9630 9855 10914 11169 11826 12410 13770 14445 15622 16371 17334 18190 18615 19710 22338 23433 27285 28890 29565 32742 33507 37230 39055 43335 46866 49113 54570 55845 59130 67014 70299 78110 81855 86670 98226 100521 111690 117165 132787 140598 147339 163710 167535 201042 210897 234330 245565 265574 294678 335070 351495 398361 421794 491130 502605 632691 663935 702990 736695 796722 1005210 1054485 1195083 1265382 1327870 1473390 1991805 2108970 2390166 3163455 3585249 3983610 5975415 6326910 7170498 10755747 11950830 17926245 21511494 35852490 53778735 107557470