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2937706980 = 2235138345377
BaseRepresentation
bin1010111100011001…
…1101100111100100
321120201210222101020
42233012131213210
522004023110410
61203301131140
7132541045245
oct25706354744
97521728336
102937706980
11127829380a
1269b9b9ab0
1337a813970
141dc22cccc
15122d8ba70
hexaf19d9e4

2937706980 has 96 divisors (see below), whose sum is σ = 8965240704. Its totient is φ = 714399744.

The previous prime is 2937706957. The next prime is 2937706997. The reversal of 2937706980 is 896077392.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42052 + ... + 87428.

It is an arithmetic number, because the mean of its divisors is an integer number (93387924).

Almost surely, 22937706980 is an apocalyptic number.

2937706980 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 2937706980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482620352).

2937706980 is an abundant number, since it is smaller than the sum of its proper divisors (6027533724).

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

2937706980 is a wasteful number, since it uses less digits than its factorization.

2937706980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45485 (or 45483 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 2937706980 is about 54200.6178931569. The cubic root of 2937706980 is about 1432.1972155636.

The spelling of 2937706980 in words is "two billion, nine hundred thirty-seven million, seven hundred six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 83 130 156 166 195 249 260 332 390 415 498 780 830 996 1079 1245 1660 2158 2490 3237 4316 4980 5395 6474 10790 12948 16185 21580 32370 45377 64740 90754 136131 181508 226885 272262 453770 544524 589901 680655 907540 1179802 1361310 1769703 2359604 2722620 2949505 3539406 3766291 5899010 7078812 7532582 8848515 11298873 11798020 15065164 17697030 18831455 22597746 35394060 37662910 45195492 48961783 56494365 75325820 97923566 112988730 146885349 195847132 225977460 244808915 293770698 489617830 587541396 734426745 979235660 1468853490 2937706980