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2934157920 = 253510956081
BaseRepresentation
bin1010111011100011…
…1011001001100000
321120111010122222120
42232320323021200
522002121023140
61203053104240
7132465634161
oct25670731140
97514118876
102934157920
11127628a301
1269a788080
13379b70425
141db987768
151228da1d0
hexaee3b260

2934157920 has 96 divisors (see below), whose sum is σ = 9327558240. Its totient is φ = 775249920.

The previous prime is 2934157913. The next prime is 2934157927. The reversal of 2934157920 is 297514392.

2934157920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2934157913) and next prime (2934157927).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2934157927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24280 + ... + 80360.

It is an arithmetic number, because the mean of its divisors is an integer number (97162065).

Almost surely, 22934157920 is an apocalyptic number.

2934157920 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 2934157920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663779120).

2934157920 is an abundant number, since it is smaller than the sum of its proper divisors (6393400320).

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

2934157920 is a wasteful number, since it uses less digits than its factorization.

2934157920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56208 (or 56200 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 2934157920 is about 54167.8679661661. The cubic root of 2934157920 is about 1431.6202346990.

The spelling of 2934157920 in words is "two billion, nine hundred thirty-four million, one hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 109 120 160 218 240 327 436 480 545 654 872 1090 1308 1635 1744 2180 2616 3270 3488 4360 5232 6540 8720 10464 13080 17440 26160 52320 56081 112162 168243 224324 280405 336486 448648 560810 672972 841215 897296 1121620 1345944 1682430 1794592 2243240 2691888 3364860 4486480 5383776 6112829 6729720 8972960 12225658 13459440 18338487 24451316 26918880 30564145 36676974 48902632 61128290 73353948 91692435 97805264 122256580 146707896 183384870 195610528 244513160 293415792 366769740 489026320 586831584 733539480 978052640 1467078960 2934157920