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2503380720 = 2435192323869
BaseRepresentation
bin1001010100110110…
…1000111011110000
320110110112220202110
42111031220323300
520111331140340
61052224045320
7116015246031
oct22515507360
96413486673
102503380720
111075102a95
1259a463840
1330b844189
1419a690a88
15e9b97680
hex95368ef0

2503380720 has 160 divisors (see below), whose sum is σ = 8524454400. Its totient is φ = 604910592.

The previous prime is 2503380703. The next prime is 2503380749. The reversal of 2503380720 is 270833052.

2503380720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 92946 + ... + 116814.

It is an arithmetic number, because the mean of its divisors is an integer number (53277840).

Almost surely, 22503380720 is an apocalyptic number.

2503380720 is a gapful number since it is divisible by the number (20) 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 2503380720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262227200).

2503380720 is an abundant number, since it is smaller than the sum of its proper divisors (6021073680).

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

2503380720 is a wasteful number, since it uses less digits than its factorization.

2503380720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23927 (or 23921 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2503380720 is about 50033.7957784536. The cubic root of 2503380720 is about 1357.8203117989.

The spelling of 2503380720 in words is "two billion, five hundred three million, three hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 38 40 46 48 57 60 69 76 80 92 95 114 115 120 138 152 184 190 228 230 240 276 285 304 345 368 380 437 456 460 552 570 690 760 874 912 920 1104 1140 1311 1380 1520 1748 1840 2185 2280 2622 2760 3496 4370 4560 5244 5520 6555 6992 8740 10488 13110 17480 20976 23869 26220 34960 47738 52440 71607 95476 104880 119345 143214 190952 238690 286428 358035 381904 453511 477380 548987 572856 716070 907022 954760 1097974 1145712 1360533 1432140 1646961 1814044 1909520 2195948 2267555 2721066 2744935 2864280 3293922 3628088 4391896 4535110 5442132 5489870 5728560 6587844 6802665 7256176 8234805 8783792 9070220 10430753 10884264 10979740 13175688 13605330 16469610 18140440 20861506 21768528 21959480 26351376 27210660 31292259 32939220 36280880 41723012 43918960 52153765 54421320 62584518 65878440 83446024 104307530 108842640 125169036 131756880 156461295 166892048 208615060 250338072 312922590 417230120 500676144 625845180 834460240 1251690360 2503380720