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131404770 = 23257283359
BaseRepresentation
bin1111101010100…
…01001111100010
3100011021001110100
413311101033202
5232114423040
621012243230
73153631200
oct765211742
9304231410
10131404770
11681a1392
1238010516
13212bb003
1413648070
15b809b30
hex7d513e2

131404770 has 144 divisors (see below), whose sum is σ = 403341120. Its totient is φ = 29590848.

The previous prime is 131404769. The next prime is 131404807. The reversal of 131404770 is 77404131.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365851 + ... + 366209.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2131404770 is an apocalyptic number.

131404770 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 131404770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

131404770 is an abundant number, since it is smaller than the sum of its proper divisors (271936350).

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

131404770 is a wasteful number, since it uses less digits than its factorization.

131404770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 459 counting only the distinct ones).

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

The square root of 131404770 is about 11463.1919638467. The cubic root of 131404770 is about 508.3978557055.

The spelling of 131404770 in words is "one hundred thirty-one million, four hundred four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 83 90 98 105 126 147 166 210 245 249 294 315 359 415 441 490 498 581 630 718 735 747 830 882 1077 1162 1245 1470 1494 1743 1795 2154 2205 2490 2513 2905 3231 3486 3590 3735 4067 4410 5026 5229 5385 5810 6462 7470 7539 8134 8715 10458 10770 12201 12565 15078 16155 17430 17591 20335 22617 24402 25130 26145 29797 32310 35182 36603 37695 40670 45234 52290 52773 59594 61005 73206 75390 87955 89391 105546 113085 122010 148985 158319 175910 178782 183015 208579 226170 263865 268173 297970 316638 366030 417158 446955 527730 536346 625737 791595 893910 1042895 1251474 1340865 1460053 1583190 1877211 2085790 2681730 2920106 3128685 3754422 4380159 6257370 7300265 8760318 9386055 13140477 14600530 18772110 21900795 26280954 43801590 65702385 131404770