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2073376720 = 245312149181
BaseRepresentation
bin111101110010101…
…0011011111010000
312100111102110011101
41323211103133100
513221241023340
6541423354144
7102244261042
oct17345233720
95314373141
102073376720
11974404688
1249a452954
13270728b3c
14159519a92
15c2058c9a
hex7b9537d0

2073376720 has 120 divisors (see below), whose sum is σ = 5042255400. Its totient is φ = 792806400.

The previous prime is 2073376687. The next prime is 2073376757. The reversal of 2073376720 is 276733702.

It can be written as a sum of positive squares in 4 ways, for example, as 113720896 + 1959655824 = 10664^2 + 44268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2073376720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11455030 + ... + 11455210.

It is an arithmetic number, because the mean of its divisors is an integer number (42018795).

Almost surely, 22073376720 is an apocalyptic number.

2073376720 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 2073376720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521127700).

2073376720 is an abundant number, since it is smaller than the sum of its proper divisors (2968878680).

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

2073376720 is a wasteful number, since it uses less digits than its factorization.

2073376720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 37.

The square root of 2073376720 is about 45534.3465968273. The cubic root of 2073376720 is about 1275.1445116221.

The spelling of 2073376720 in words is "two billion, seventy-three million, three hundred seventy-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 149 155 181 248 298 310 362 496 596 620 724 745 905 961 1192 1240 1448 1490 1810 1922 2384 2480 2896 2980 3620 3844 4619 4805 5611 5960 7240 7688 9238 9610 11222 11920 14480 15376 18476 19220 22444 23095 26969 28055 36952 38440 44888 46190 53938 56110 73904 76880 89776 92380 107876 112220 134845 143189 173941 184760 215752 224440 269690 286378 347882 369520 431504 448880 539380 572756 695764 715945 836039 869705 1078760 1145512 1391528 1431890 1672078 1739410 2157520 2291024 2783056 2863780 3344156 3478820 4180195 5727560 6688312 6957640 8360390 11455120 13376624 13915280 16720780 25917209 33441560 51834418 66883120 103668836 129586045 207337672 259172090 414675344 518344180 1036688360 2073376720