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2139100600 = 235271329041
BaseRepresentation
bin111111110000000…
…0001010110111000
312112002002120101011
41333200001112320
513340102204400
6552132203304
7104003024620
oct17740012670
95462076334
102139100600
119a8514a3a
124b8469534
1328122b200
14164147880
15c7bdc8ba
hex7f8015b8

2139100600 has 144 divisors (see below), whose sum is σ = 6155431920. Its totient is φ = 676915200.

The previous prime is 2139100589. The next prime is 2139100631. The reversal of 2139100600 is 60019312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 232080 + ... + 241120.

It is an arithmetic number, because the mean of its divisors is an integer number (42746055).

Almost surely, 22139100600 is an apocalyptic number.

2139100600 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 2139100600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077715960).

2139100600 is an abundant number, since it is smaller than the sum of its proper divisors (4016331320).

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

2139100600 is a wasteful number, since it uses less digits than its factorization.

2139100600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090 (or 9068 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 2139100600 is about 46250.4118900578. The cubic root of 2139100600 is about 1288.4781845854.

Adding to 2139100600 its reverse (60019312), we get a palindrome (2199119912).

The spelling of 2139100600 in words is "two billion, one hundred thirty-nine million, one hundred thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 169 175 182 200 260 280 325 338 350 364 455 520 650 676 700 728 845 910 1183 1300 1352 1400 1690 1820 2275 2366 2600 3380 3640 4225 4550 4732 5915 6760 8450 9041 9100 9464 11830 16900 18082 18200 23660 29575 33800 36164 45205 47320 59150 63287 72328 90410 117533 118300 126574 180820 226025 235066 236600 253148 316435 361640 452050 470132 506296 587665 632870 822731 904100 940264 1175330 1265740 1527929 1582175 1645462 1808200 2350660 2531480 2938325 3055858 3164350 3290924 4113655 4701320 5876650 6111716 6328700 6581848 7639645 8227310 10695503 11753300 12223432 12657400 15279290 16454620 20568275 21391006 23506600 30558580 32909240 38198225 41136550 42782012 53477515 61117160 76396450 82273100 85564024 106955030 152792900 164546200 213910060 267387575 305585800 427820120 534775150 1069550300 2139100600