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797137020 = 2232519613821
BaseRepresentation
bin101111100000110…
…101100001111100
32001112221202102100
4233200311201330
53113031341040
6211033225100
725516360431
oct5740654174
92045852370
10797137020
11379a65929
121a2b62190
13c91bca14
1477c21b88
1549eadb30
hex2f83587c

797137020 has 144 divisors (see below), whose sum is σ = 2587646880. Its totient is φ = 198028800.

The previous prime is 797137009. The next prime is 797137043. The reversal of 797137020 is 20731797.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206710 + ... + 210530.

It is an arithmetic number, because the mean of its divisors is an integer number (17969770).

Almost surely, 2797137020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797137020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293823440).

797137020 is an abundant number, since it is smaller than the sum of its proper divisors (1790509860).

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

797137020 is a wasteful number, since it uses less digits than its factorization.

797137020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 797137020 is about 28233.6150714003. The cubic root of 797137020 is about 927.2090450656.

The spelling of 797137020 in words is "seven hundred ninety-seven million, one hundred thirty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 61 76 90 95 114 122 171 180 183 190 228 244 285 305 342 366 380 549 570 610 684 732 855 915 1098 1140 1159 1220 1710 1830 2196 2318 2745 3420 3477 3660 3821 4636 5490 5795 6954 7642 10431 10980 11463 11590 13908 15284 17385 19105 20862 22926 23180 34389 34770 38210 41724 45852 52155 57315 68778 69540 72599 76420 104310 114630 137556 145198 171945 208620 217797 229260 233081 290396 343890 362995 435594 466162 653391 687780 699243 725990 871188 932324 1088985 1165405 1306782 1398486 1451980 2097729 2177970 2330810 2613564 2796972 3266955 3496215 4195458 4355940 4428539 4661620 6533910 6992430 8390916 8857078 10488645 13067820 13285617 13984860 17714156 20977290 22142695 26571234 39856851 41954580 44285390 53142468 66428085 79713702 88570780 132856170 159427404 199284255 265712340 398568510 797137020