Search a number
-
+
1010004204 = 22311171923689
BaseRepresentation
bin111100001100110…
…111000011101100
32121101111112022010
4330030313003230
54032030113304
6244115521220
734012615446
oct7414670354
92541445263
101010004204
11479137120
122422b9210
13131330931
14981d3496
155da0a789
hex3c3370ec

1010004204 has 96 divisors (see below), whose sum is σ = 2865542400. Its totient is φ = 272885760.

The previous prime is 1010004173. The next prime is 1010004239. The reversal of 1010004204 is 4024000101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1010004204.

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, 30792 + ... + 54480.

It is an arithmetic number, because the mean of its divisors is an integer number (29849400).

Almost surely, 21010004204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010004204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432771200).

1010004204 is an abundant number, since it is smaller than the sum of its proper divisors (1855538196).

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

1010004204 is a wasteful number, since it uses less digits than its factorization.

1010004204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23743 (or 23741 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1010004204 is about 31780.5633052657. The cubic root of 1010004204 is about 1003.3236756084.

Adding to 1010004204 its reverse (4024000101), we get a palindrome (5034004305).

The spelling of 1010004204 in words is "one billion, ten million, four thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 132 187 204 209 228 323 374 418 561 627 646 748 836 969 1122 1254 1292 1938 2244 2508 3553 3876 7106 10659 14212 21318 23689 42636 47378 71067 94756 142134 260579 284268 402713 450091 521158 781737 805426 900182 1042316 1208139 1350273 1563474 1610852 1800364 2416278 2700546 3126948 4429843 4832556 4951001 5401092 7651547 8859686 9902002 13289529 14853003 15303094 17719372 19804004 22954641 26579058 29706006 30606188 45909282 53158116 59412012 84167017 91818564 168334034 252501051 336668068 505002102 1010004204