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151431040 = 2752941199
BaseRepresentation
bin10010000011010…
…10011110000000
3101112221111100001
421001222132000
5302231243130
623005405344
73516066625
oct1101523600
9345844301
10151431040
117852a422
1242869854
13254b0387
141617c34c
15d4636ca
hex906a780

151431040 has 128 divisors (see below), whose sum is σ = 385560000. Its totient is φ = 56770560.

The previous prime is 151431013. The next prime is 151431041. The reversal of 151431040 is 40134151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 151430999 and 151431017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151431041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760861 + ... + 761059.

Almost surely, 2151431040 is an apocalyptic number.

151431040 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 151431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192780000).

151431040 is an abundant number, since it is smaller than the sum of its proper divisors (234128960).

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

151431040 is a wasteful number, since it uses less digits than its factorization.

151431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 151431040 is about 12305.7319977318. The cubic root of 151431040 is about 533.0136139304.

Adding to 151431040 its reverse (40134151), we get a palindrome (191565191).

The spelling of 151431040 in words is "one hundred fifty-one million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 41 58 64 80 82 116 128 145 160 164 199 205 232 290 320 328 398 410 464 580 640 656 796 820 928 995 1160 1189 1312 1592 1640 1856 1990 2320 2378 2624 3184 3280 3712 3980 4640 4756 5248 5771 5945 6368 6560 7960 8159 9280 9512 11542 11890 12736 13120 15920 16318 18560 19024 23084 23780 25472 26240 28855 31840 32636 38048 40795 46168 47560 57710 63680 65272 76096 81590 92336 95120 115420 127360 130544 152192 163180 184672 190240 230840 236611 261088 326360 369344 380480 461680 473222 522176 652720 738688 760960 923360 946444 1044352 1183055 1305440 1846720 1892888 2366110 2610880 3693440 3785776 4732220 5221760 7571552 9464440 15143104 18928880 30286208 37857760 75715520 151431040