Search a number
-
+
2630626000 = 245319371871
BaseRepresentation
bin1001110011001100…
…0010101011010000
320210022222122110121
42130303002223100
520341420013000
61113011240024
7122121644362
oct23463025320
96708878417
102630626000
11112aa13282
12614ba9014
1332c006b42
141ad534d32
15105e2eb1a
hex9ccc2ad0

2630626000 has 160 divisors (see below), whose sum is σ = 6880273920. Its totient is φ = 969408000.

The previous prime is 2630625973. The next prime is 2630626067. The reversal of 2630626000 is 6260362.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1405065 + ... + 1406935.

It is an arithmetic number, because the mean of its divisors is an integer number (43001712).

Almost surely, 22630626000 is an apocalyptic number.

2630626000 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 2630626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440136960).

2630626000 is an abundant number, since it is smaller than the sum of its proper divisors (4249647920).

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

2630626000 is a wasteful number, since it uses less digits than its factorization.

2630626000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 2630626000 is about 51289.6285812249. The cubic root of 2630626000 is about 1380.4468902030.

Adding to 2630626000 its reverse (6260362), we get a palindrome (2636886362).

The spelling of 2630626000 in words is "two billion, six hundred thirty million, six hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 37 38 40 50 74 76 80 95 100 125 148 152 185 190 200 250 296 304 370 380 400 475 500 592 703 740 760 925 950 1000 1406 1480 1520 1850 1871 1900 2000 2375 2812 2960 3515 3700 3742 3800 4625 4750 5624 7030 7400 7484 7600 9250 9355 9500 11248 14060 14800 14968 17575 18500 18710 19000 28120 29936 35150 35549 37000 37420 38000 46775 56240 69227 70300 71098 74000 74840 87875 93550 138454 140600 142196 149680 175750 177745 187100 233875 276908 281200 284392 346135 351500 355490 374200 467750 553816 568784 692270 703000 710980 748400 888725 935500 1107632 1315313 1384540 1406000 1421960 1730675 1777450 1871000 2630626 2769080 2843920 3461350 3554900 3742000 4443625 5261252 5538160 6576565 6922700 7109800 8653375 8887250 10522504 13153130 13845400 14219600 17306750 17774500 21045008 26306260 27690800 32882825 34613500 35549000 52612520 65765650 69227000 71098000 105225040 131531300 138454000 164414125 263062600 328828250 526125200 657656500 1315313000 2630626000