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131422240 = 25517192543
BaseRepresentation
bin1111101010101…
…01100000100000
3100011021221102101
413311111200200
5232121002430
621012500144
73154033135
oct765254040
9304257371
10131422240
1168203524
123801a654
13212c5c51
141365058c
15b80edca
hex7d55820

131422240 has 96 divisors (see below), whose sum is σ = 346187520. Its totient is φ = 46854144.

The previous prime is 131422231. The next prime is 131422271. The reversal of 131422240 is 42224131.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50409 + ... + 52951.

It is an arithmetic number, because the mean of its divisors is an integer number (3606120).

Almost surely, 2131422240 is an apocalyptic number.

131422240 is a gapful number since it is divisible by the number (10) 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 131422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173093760).

131422240 is an abundant number, since it is smaller than the sum of its proper divisors (214765280).

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

131422240 is a wasteful number, since it uses less digits than its factorization.

131422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 131422240 is about 11463.9539426849. The cubic root of 131422240 is about 508.4203848647.

Adding to 131422240 its reverse (42224131), we get a palindrome (173646371).

The spelling of 131422240 in words is "one hundred thirty-one million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 80 85 95 136 152 160 170 190 272 304 323 340 380 544 608 646 680 760 1292 1360 1520 1615 2543 2584 2720 3040 3230 5086 5168 6460 10172 10336 12715 12920 20344 25430 25840 40688 43231 48317 50860 51680 81376 86462 96634 101720 172924 193268 203440 216155 241585 345848 386536 406880 432310 483170 691696 773072 821389 864620 966340 1383392 1546144 1642778 1729240 1932680 3285556 3458480 3865360 4106945 6571112 6916960 7730720 8213890 13142224 16427780 26284448 32855560 65711120 131422240