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150061120 = 2651189479
BaseRepresentation
bin10001111000111…
…00000001000000
3101110100220011021
420330130001000
5301403423440
622520155224
73501332656
oct1074340100
9343326137
10150061120
1177784160
1242308b14
1325120981
1415d02dd6
15d29284a
hex8f1c040

150061120 has 112 divisors (see below), whose sum is σ = 395020800. Its totient is φ = 53841920.

The previous prime is 150061117. The next prime is 150061129. The reversal of 150061120 is 21160051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 150061094 and 150061103.

It is not an unprimeable number, because it can be changed into a prime (150061129) 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, 313041 + ... + 313519.

Almost surely, 2150061120 is an apocalyptic number.

150061120 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 150061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197510400).

150061120 is an abundant number, since it is smaller than the sum of its proper divisors (244959680).

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

150061120 is a wasteful number, since it uses less digits than its factorization.

150061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 150061120 is about 12249.9436733399. The cubic root of 150061120 is about 531.4014411159.

The spelling of 150061120 in words is "one hundred fifty million, sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 89 110 160 176 178 220 320 352 356 440 445 479 704 712 880 890 958 979 1424 1760 1780 1916 1958 2395 2848 3520 3560 3832 3916 4790 4895 5269 5696 7120 7664 7832 9580 9790 10538 14240 15328 15664 19160 19580 21076 26345 28480 30656 31328 38320 39160 42152 42631 52690 62656 76640 78320 84304 85262 105380 153280 156640 168608 170524 210760 213155 313280 337216 341048 421520 426310 468941 682096 843040 852620 937882 1364192 1686080 1705240 1875764 2344705 2728384 3410480 3751528 4689410 6820960 7503056 9378820 13641920 15006112 18757640 30012224 37515280 75030560 150061120