Search a number
-
+
2532120000 = 2635421101
BaseRepresentation
bin1001011011101101…
…0001010111000000
320112110122000122020
42112323101113000
520141210320000
61055132041440
7116514444024
oct22673212700
96473560566
102532120000
11108a352263
125a8003280
13314797377
141a0412384
15ec472ba0
hex96ed15c0

2532120000 has 140 divisors (see below), whose sum is σ = 8372176296. Its totient is φ = 675200000.

The previous prime is 2532119969. The next prime is 2532120013. The reversal of 2532120000 is 212352.

It is a hoax number, since the sum of its digits (15) 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109450 + ... + 130550.

Almost surely, 22532120000 is an apocalyptic number.

2532120000 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 2532120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186088148).

2532120000 is an abundant number, since it is smaller than the sum of its proper divisors (5840056296).

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

2532120000 is an equidigital number, since it uses as much as digits as its factorization.

2532120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21136 (or 21111 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2532120000 is about 50320.1748804592. The cubic root of 2532120000 is about 1362.9965645086.

Adding to 2532120000 its reverse (212352), we get a palindrome (2532332352).

The spelling of 2532120000 in words is "two billion, five hundred thirty-two million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 21101 24000 30000 40000 42202 60000 63303 84404 105505 120000 126606 168808 211010 253212 316515 337616 422020 506424 527525 633030 675232 844040 1012848 1055050 1266060 1350464 1582575 1688080 2025696 2110100 2532120 2637625 3165150 3376160 4051392 4220200 5064240 5275250 6330300 6752320 7912875 8440400 10128480 10550500 12660600 13188125 15825750 16880800 20256960 21101000 25321200 26376250 31651500 33761600 39564375 42202000 50642400 52752500 63303000 79128750 84404000 101284800 105505000 126606000 158257500 168808000 211010000 253212000 316515000 422020000 506424000 633030000 844040000 1266060000 2532120000