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151434120 = 23355973293
BaseRepresentation
bin10010000011010…
…11001110001000
3101112221122120010
421001223032020
5302231342440
623005431520
73516111615
oct1101531610
9345848503
10151434120
1178531772
124286b5a0
13254b18b6
141617d50c
15d464580
hex906b388

151434120 has 128 divisors (see below), whose sum is σ = 469929600. Its totient is φ = 39020544.

The previous prime is 151434103. The next prime is 151434131. The reversal of 151434120 is 21434151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516694 + ... + 516986.

It is an arithmetic number, because the mean of its divisors is an integer number (3671325).

Almost surely, 2151434120 is an apocalyptic number.

151434120 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 151434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234964800).

151434120 is an abundant number, since it is smaller than the sum of its proper divisors (318495480).

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

151434120 is a wasteful number, since it uses less digits than its factorization.

151434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 151434120 is about 12305.8571420279. The cubic root of 151434120 is about 533.0172276123.

Adding to 151434120 its reverse (21434151), we get a palindrome (172868271).

The spelling of 151434120 in words is "one hundred fifty-one million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 73 118 120 146 177 219 236 292 293 295 354 365 438 472 584 586 590 708 730 876 879 885 1095 1172 1180 1416 1460 1465 1752 1758 1770 2190 2344 2360 2920 2930 3516 3540 4307 4380 4395 5860 7032 7080 8614 8760 8790 11720 12921 17228 17287 17580 21389 21535 25842 34456 34574 35160 42778 43070 51684 51861 64167 64605 69148 85556 86140 86435 103368 103722 106945 128334 129210 138296 171112 172280 172870 207444 213890 256668 258420 259305 320835 345740 414888 427780 513336 516840 518610 641670 691480 855560 1037220 1261951 1283340 2074440 2523902 2566680 3785853 5047804 6309755 7571706 10095608 12619510 15143412 18929265 25239020 30286824 37858530 50478040 75717060 151434120