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2046997120 = 27573831193
BaseRepresentation
bin111101000000010…
…1011001010000000
312021122210020011011
41322000223022000
513143012401440
6535042130304
7101504121430
oct17200531200
95248706134
102046997120
11960527263
12491650994
132681209cc
14155c102c0
15bea979ea
hex7a02b280

2046997120 has 128 divisors (see below), whose sum is σ = 5611991040. Its totient is φ = 699408384.

The previous prime is 2046997093. The next prime is 2046997133. The reversal of 2046997120 is 217996402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1715244 + ... + 1716436.

It is an arithmetic number, because the mean of its divisors is an integer number (43843680).

Almost surely, 22046997120 is an apocalyptic number.

2046997120 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 2046997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805995520).

2046997120 is an abundant number, since it is smaller than the sum of its proper divisors (3564993920).

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

2046997120 is a wasteful number, since it uses less digits than its factorization.

2046997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 2046997120 is about 45243.7522758668. The cubic root of 2046997120 is about 1269.7135196092.

The spelling of 2046997120 in words is "two billion, forty-six million, nine hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 383 448 560 640 766 896 1120 1193 1532 1915 2240 2386 2681 3064 3830 4480 4772 5362 5965 6128 7660 8351 9544 10724 11930 12256 13405 15320 16702 19088 21448 23860 24512 26810 30640 33404 38176 41755 42896 47720 49024 53620 61280 66808 76352 83510 85792 95440 107240 122560 133616 152704 167020 171584 190880 214480 245120 267232 334040 343168 381760 428960 456919 534464 668080 763520 857920 913838 1068928 1336160 1715840 1827676 2284595 2672320 3198433 3655352 4569190 5344640 6396866 7310704 9138380 12793732 14621408 15992165 18276760 25587464 29242816 31984330 36553520 51174928 58485632 63968660 73107040 102349856 127937320 146214080 204699712 255874640 292428160 409399424 511749280 1023498560 2046997120