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2120689152 = 2932895171
BaseRepresentation
bin111111001100111…
…0010011000000000
312110210110011121200
41332121302120000
513320344023102
6550233421200
7103360363131
oct17631623000
95423404550
102120689152
1199908a16a
124b226a800
1327a482b6a
14161913c88
15c62a251c
hex7e672600

2120689152 has 120 divisors (see below), whose sum is σ = 6190418520. Its totient is φ = 698818560.

The previous prime is 2120689147. The next prime is 2120689183. The reversal of 2120689152 is 2519860212.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 407527 + ... + 412697.

It is an arithmetic number, because the mean of its divisors is an integer number (51586821).

Almost surely, 22120689152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095209260).

2120689152 is an abundant number, since it is smaller than the sum of its proper divisors (4069729368).

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

2120689152 is an equidigital number, since it uses as much as digits as its factorization.

2120689152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2120689152 is about 46050.9408372945. The cubic root of 2120689152 is about 1284.7708417634.

The spelling of 2120689152 in words is "two billion, one hundred twenty million, six hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 256 267 288 356 384 512 534 576 712 768 801 1068 1152 1424 1536 1602 2136 2304 2848 3204 4272 4608 5171 5696 6408 8544 10342 11392 12816 15513 17088 20684 22784 25632 31026 34176 41368 45568 46539 51264 62052 68352 82736 93078 102528 124104 136704 165472 186156 205056 248208 330944 372312 410112 460219 496416 661888 744624 920438 992832 1323776 1380657 1489248 1840876 1985664 2647552 2761314 2978496 3681752 3971328 4141971 5522628 5956992 7363504 7942656 8283942 11045256 11913984 14727008 16567884 22090512 23827968 29454016 33135768 44181024 58908032 66271536 88362048 117816064 132543072 176724096 235632128 265086144 353448192 530172288 706896384 1060344576 2120689152