Search a number
-
+
1046145900 = 2235227712589
BaseRepresentation
bin111110010110101…
…110101101101100
32200220111201101110
4332112232231230
54120303132100
6251450312020
734632044022
oct7626565554
92626451343
101046145900
11497581998
12252428610
13138976257
149cd20712
1561c99250
hex3e5aeb6c

1046145900 has 72 divisors (see below), whose sum is σ = 3038017360. Its totient is φ = 277943040.

The previous prime is 1046145889. The next prime is 1046145911. The reversal of 1046145900 is 95416401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1046145889) and next prime (1046145911).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76806 + ... + 89394.

Almost surely, 21046145900 is an apocalyptic number.

1046145900 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 1046145900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519008680).

1046145900 is an abundant number, since it is smaller than the sum of its proper divisors (1991871460).

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

1046145900 is a wasteful number, since it uses less digits than its factorization.

1046145900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12883 (or 12876 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1046145900 is about 32344.1787652740. The cubic root of 1046145900 is about 1015.1512470060.

The spelling of 1046145900 in words is "one billion, forty-six million, one hundred forty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 277 300 554 831 1108 1385 1662 2770 3324 4155 5540 6925 8310 12589 13850 16620 20775 25178 27700 37767 41550 50356 62945 75534 83100 125890 151068 188835 251780 314725 377670 629450 755340 944175 1258900 1888350 3487153 3776700 6974306 10461459 13948612 17435765 20922918 34871530 41845836 52307295 69743060 87178825 104614590 174357650 209229180 261536475 348715300 523072950 1046145900