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113028720 = 24357193541
BaseRepresentation
bin1101011110010…
…10111001110000
321212200110020220
412233022321300
5212413404340
615114333040
72541504540
oct657127160
9255613226
10113028720
1158890172
1231a2a180
131a555acc
1411023320
159dc9ed0
hex6bcae70

113028720 has 160 divisors (see below), whose sum is σ = 421639680. Its totient is φ = 24468480.

The previous prime is 113028709. The next prime is 113028743. The reversal of 113028720 is 27820311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30150 + ... + 33690.

It is an arithmetic number, because the mean of its divisors is an integer number (2635248).

Almost surely, 2113028720 is an apocalyptic number.

113028720 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 113028720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210819840).

113028720 is an abundant number, since it is smaller than the sum of its proper divisors (308610960).

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

113028720 is a wasteful number, since it uses less digits than its factorization.

113028720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 113028720 is about 10631.4966020782. The cubic root of 113028720 is about 483.4997677582.

The spelling of 113028720 in words is "one hundred thirteen million, twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3541 3990 4560 5320 6384 7082 7980 10623 10640 14164 15960 17705 21246 24787 28328 31920 35410 42492 49574 53115 56656 67279 70820 74361 84984 99148 106230 123935 134558 141640 148722 169968 198296 201837 212460 247870 269116 283280 297444 336395 371805 396592 403674 424920 470953 495740 538232 594888 672790 743610 807348 849840 941906 991480 1009185 1076464 1189776 1345580 1412859 1487220 1614696 1883812 1982960 2018370 2354765 2691160 2825718 2974440 3229392 3767624 4036740 4709530 5382320 5651436 5948880 7064295 7535248 8073480 9419060 11302872 14128590 16146960 18838120 22605744 28257180 37676240 56514360 113028720