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1400729000 = 235311294391
BaseRepresentation
bin101001101111101…
…0110110110101000
310121121201101221212
41103133112312220
510332041312000
6350554252252
746466000006
oct12337266650
93547641855
101400729000
11659747480
12331127088
13194275538
14d4061a76
1582e8ac35
hex537d6da8

1400729000 has 128 divisors (see below), whose sum is σ = 3699820800. Its totient is φ = 491680000.

The previous prime is 1400728981. The next prime is 1400729009. The reversal of 1400729000 is 9270041.

It is not an unprimeable number, because it can be changed into a prime (1400729009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316805 + ... + 321195.

It is an arithmetic number, because the mean of its divisors is an integer number (28904850).

Almost surely, 21400729000 is an apocalyptic number.

1400729000 is a gapful number since it is divisible by the number (10) 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 1400729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849910400).

1400729000 is an abundant number, since it is smaller than the sum of its proper divisors (2299091800).

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

1400729000 is a wasteful number, since it uses less digits than its factorization.

1400729000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1400729000 is about 37426.3142721802. The cubic root of 1400729000 is about 1118.8830808262.

Adding to 1400729000 its reverse (9270041), we get a palindrome (1409999041).

The spelling of 1400729000 in words is "one billion, four hundred million, seven hundred twenty-nine thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 4391 5500 5800 6380 7250 7975 8782 11000 12760 14500 15950 17564 21955 29000 31900 35128 39875 43910 48301 63800 79750 87820 96602 109775 127339 159500 175640 193204 219550 241505 254678 319000 386408 439100 483010 509356 548875 636695 878200 966020 1018712 1097750 1207525 1273390 1400729 1932040 2195500 2415050 2546780 2801458 3183475 4391000 4830100 5093560 5602916 6037625 6366950 7003645 9660200 11205832 12075250 12733900 14007290 15917375 24150500 25467800 28014580 31834750 35018225 48301000 56029160 63669500 70036450 127339000 140072900 175091125 280145800 350182250 700364500 1400729000