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151354140 = 22357251481
BaseRepresentation
bin10010000010101…
…11101100011100
3101112210120211220
421001113230130
5302221313030
623004013340
73515326500
oct1101275434
9345716756
10151354140
1178487673
1242831250
1325484382
141615c300
15d44aa10
hex9057b1c

151354140 has 72 divisors (see below), whose sum is σ = 492991632. Its totient is φ = 34594560.

The previous prime is 151354129. The next prime is 151354141. The reversal of 151354140 is 41453151.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 151354140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151354141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22801 + ... + 28680.

It is an arithmetic number, because the mean of its divisors is an integer number (6847106).

Almost surely, 2151354140 is an apocalyptic number.

151354140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151354140 is an abundant number, since it is smaller than the sum of its proper divisors (341637492).

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

151354140 is a wasteful number, since it uses less digits than its factorization.

151354140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51507 (or 51498 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 151354140 is about 12302.6070407861. The cubic root of 151354140 is about 532.9233733228.

The spelling of 151354140 in words is "one hundred fifty-one million, three hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 51481 102962 154443 205924 257405 308886 360367 514810 617772 720734 772215 1029620 1081101 1441468 1544430 1801835 2162202 2522569 3088860 3603670 4324404 5045138 5405505 7207340 7567707 10090276 10811010 12612845 15135414 21622020 25225690 30270828 37838535 50451380 75677070 151354140