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2138218740 = 2232577921481
BaseRepresentation
bin111111101110010…
…1010000011110100
312112000102202200200
41333130222003310
513334340444430
6552101240500
7103662362610
oct17734520364
95460382620
102138218740
119a7a72429
124b8103130
13280cac9b8
14163d98340
15c7ab6460
hex7f72a0f4

2138218740 has 144 divisors (see below), whose sum is σ = 7506670080. Its totient is φ = 482526720.

The previous prime is 2138218727. The next prime is 2138218763. The reversal of 2138218740 is 478128312.

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

It is a junction number, because it is equal to n+sod(n) for n = 2138218695 and 2138218704.

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, 88800 + ... + 110280.

Almost surely, 22138218740 is an apocalyptic number.

2138218740 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 2138218740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753335040).

2138218740 is an abundant number, since it is smaller than the sum of its proper divisors (5368451340).

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

2138218740 is a wasteful number, since it uses less digits than its factorization.

2138218740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21582 (or 21577 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2138218740 is about 46240.8773705690. The cubic root of 2138218740 is about 1288.3010987031.

The spelling of 2138218740 in words is "two billion, one hundred thirty-eight million, two hundred eighteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 79 84 90 105 126 140 158 180 210 237 252 315 316 395 420 474 553 630 711 790 948 1106 1185 1260 1422 1580 1659 2212 2370 2765 2844 3318 3555 4740 4977 5530 6636 7110 8295 9954 11060 14220 16590 19908 21481 24885 33180 42962 49770 64443 85924 99540 107405 128886 150367 193329 214810 257772 300734 322215 386658 429620 451101 601468 644430 751835 773316 902202 966645 1288860 1353303 1503670 1696999 1804404 1933290 2255505 2706606 3007340 3393998 3866580 4511010 5090997 5413212 6766515 6787996 8484995 9022020 10181994 11878993 13533030 15272991 16969990 20363988 23757986 25454985 27066060 30545982 33939980 35636979 47515972 50909970 59394965 61091964 71273958 76364955 101819940 106910937 118789930 142547916 152729910 178184895 213821874 237579860 305459820 356369790 427643748 534554685 712739580 1069109370 2138218740