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151136040 = 233511611877
BaseRepresentation
bin10010000001000…
…10011100101000
3101112101111200010
421000202130220
5302142323130
622555211520
73513430566
oct1100423450
9345344603
10151136040
1178348820
1242746ba0
1325409013
1416102a36
15d4060b0
hex9022728

151136040 has 128 divisors (see below), whose sum is σ = 503003520. Its totient is φ = 36019200.

The previous prime is 151136039. The next prime is 151136047. The reversal of 151136040 is 40631151.

It is a junction number, because it is equal to n+sod(n) for n = 151135998 and 151136016.

It is not an unprimeable number, because it can be changed into a prime (151136047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79582 + ... + 81458.

It is an arithmetic number, because the mean of its divisors is an integer number (3929715).

Almost surely, 2151136040 is an apocalyptic number.

151136040 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 151136040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251501760).

151136040 is an abundant number, since it is smaller than the sum of its proper divisors (351867480).

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

151136040 is a wasteful number, since it uses less digits than its factorization.

151136040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 151136040 is about 12293.7398703568. The cubic root of 151136040 is about 532.6672709535.

Adding to 151136040 its reverse (40631151), we get a palindrome (191767191).

The spelling of 151136040 in words is "one hundred fifty-one million, one hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 61 66 88 110 120 122 132 165 183 220 244 264 305 330 366 440 488 610 660 671 732 915 1220 1320 1342 1464 1830 1877 2013 2440 2684 3355 3660 3754 4026 5368 5631 6710 7320 7508 8052 9385 10065 11262 13420 15016 16104 18770 20130 20647 22524 26840 28155 37540 40260 41294 45048 56310 61941 75080 80520 82588 103235 112620 114497 123882 165176 206470 225240 228994 247764 309705 343491 412940 457988 495528 572485 619410 686982 825880 915976 1144970 1238820 1259467 1373964 1717455 2289940 2477640 2518934 2747928 3434910 3778401 4579880 5037868 6297335 6869820 7556802 10075736 12594670 13739640 15113604 18892005 25189340 30227208 37784010 50378680 75568020 151136040