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190047120 = 24351971587
BaseRepresentation
bin10110101001111…
…10001110010000
3111020121101122020
423110332032100
5342123001440
630505211440
74465242144
oct1324761620
9436541566
10190047120
119830523a
1253790b80
13304b1023
141b351224
1511a403d0
hexb53e390

190047120 has 160 divisors (see below), whose sum is σ = 629959680. Its totient is φ = 47255040.

The previous prime is 190047119. The next prime is 190047127. The reversal of 190047120 is 21740091.

190047120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1900471202 = 72235815640588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (190047127) 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, 323467 + ... + 324053.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2190047120 is an apocalyptic number.

190047120 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 190047120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840).

190047120 is an abundant number, since it is smaller than the sum of its proper divisors (439912560).

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

190047120 is a wasteful number, since it uses less digits than its factorization.

190047120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 190047120 is about 13785.7578681769. The cubic root of 190047120 is about 574.9372281822.

The spelling of 190047120 in words is "one hundred ninety million, forty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 71 76 80 95 114 120 142 152 190 213 228 240 284 285 304 355 380 426 456 568 570 587 710 760 852 912 1065 1136 1140 1174 1349 1420 1520 1704 1761 2130 2280 2348 2698 2840 2935 3408 3522 4047 4260 4560 4696 5396 5680 5870 6745 7044 8094 8520 8805 9392 10792 11153 11740 13490 14088 16188 17040 17610 20235 21584 22306 23480 26980 28176 32376 33459 35220 40470 41677 44612 46960 53960 55765 64752 66918 70440 80940 83354 89224 107920 111530 125031 133836 140880 161880 166708 167295 178448 208385 223060 250062 267672 323760 333416 334590 416770 446120 500124 535344 625155 666832 669180 791863 833540 892240 1000248 1250310 1338360 1583726 1667080 2000496 2375589 2500620 2676720 3167452 3334160 3959315 4751178 5001240 6334904 7918630 9502356 10002480 11877945 12669808 15837260 19004712 23755890 31674520 38009424 47511780 63349040 95023560 190047120