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2077239780 = 22325711149873
BaseRepresentation
bin111101111010000…
…0010100111100100
312100202200201021200
41323310002213210
513223233133110
6542042242500
7102322150440
oct17364024744
95322621250
102077239780
11976602aa0
1249b7b6430
1327147c285
14159c43820
15c256d6c0
hex7bd029e4

2077239780 has 144 divisors (see below), whose sum is σ = 7855795584. Its totient is φ = 431631360.

The previous prime is 2077239767. The next prime is 2077239781. The reversal of 2077239780 is 879327702.

2077239780 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20772397802 = 8629850207228896800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2077239781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61077 + ... + 88796.

It is an arithmetic number, because the mean of its divisors is an integer number (54554136).

Almost surely, 22077239780 is an apocalyptic number.

2077239780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2077239780 is an abundant number, since it is smaller than the sum of its proper divisors (5778555804).

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

2077239780 is a wasteful number, since it uses less digits than its factorization.

2077239780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149906 (or 149901 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 2077239780 is about 45576.7460444468. The cubic root of 2077239780 is about 1275.9359586639.

The spelling of 2077239780 in words is "two billion, seventy-seven million, two hundred thirty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 149873 299746 449619 599492 749365 899238 1049111 1348857 1498730 1648603 1798476 2098222 2248095 2697714 2997460 3147333 3297206 4196444 4496190 4945809 5245555 5395428 6294666 6594412 6744285 8243015 8992380 9441999 9891618 10491110 11540221 12589332 13488570 14837427 15736665 16486030 18883998 19783236 20982220 23080442 24729045 26977140 29674854 31473330 32972060 34620663 37767996 46160884 47209995 49458090 57701105 59349708 62946660 69241326 74187135 94419990 98916180 103861989 115402210 138482652 148374270 173103315 188839980 207723978 230804420 296748540 346206630 415447956 519309945 692413260 1038619890 2077239780