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1297993620 = 2235711225541
BaseRepresentation
bin100110101011101…
…1100111110010100
310100110101220111210
41031113130332110
510124241243440
6332444301420
744110522650
oct11527347624
93313356453
101297993620
11606757900
12302841870
13178bb4981
14c455ba60
1578e45a80
hex4d5dcf94

1297993620 has 144 divisors (see below), whose sum is σ = 4565683584. Its totient is φ = 269702400.

The previous prime is 1297993601. The next prime is 1297993649. The reversal of 1297993620 is 263997921.

It is a self number, because there is not a number n which added to its sum of digits gives 1297993620.

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, 38050 + ... + 63590.

It is an arithmetic number, because the mean of its divisors is an integer number (31706136).

Almost surely, 21297993620 is an apocalyptic number.

1297993620 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 1297993620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282841792).

1297993620 is an abundant number, since it is smaller than the sum of its proper divisors (3267689964).

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

1297993620 is a wasteful number, since it uses less digits than its factorization.

1297993620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25582 (or 25569 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 1297993620 is about 36027.6785263775. The cubic root of 1297993620 is about 1090.8311198944.

The spelling of 1297993620 in words is "one billion, two hundred ninety-seven million, nine hundred ninety-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 210 220 231 242 308 330 363 385 420 462 484 605 660 726 770 847 924 1155 1210 1452 1540 1694 1815 2310 2420 2541 3388 3630 4235 4620 5082 7260 8470 10164 12705 16940 25410 25541 50820 51082 76623 102164 127705 153246 178787 255410 280951 306492 357574 383115 510820 536361 561902 715148 766230 842853 893935 1072722 1123804 1404755 1532460 1685706 1787870 1966657 2145444 2681805 2809510 3090461 3371412 3575740 3933314 4214265 5363610 5619020 5899971 6180922 7866628 8428530 9271383 9833285 10727220 11799942 12361844 15452305 16857060 18542766 19666570 21633227 23599884 29499855 30904610 37085532 39333140 43266454 46356915 58999710 61809220 64899681 86532908 92713830 108166135 117999420 129799362 185427660 216332270 259598724 324498405 432664540 648996810 1297993620