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1202000004 = 2232291816361
BaseRepresentation
bin100011110100101…
…0001000010000100
310002202202221000200
41013221101002010
54430203000004
6315135010500
741533555122
oct10751210204
93082687020
101202000004
11567552437
12296669a30
1316204490a
14b58d0912
15707d3239
hex47a51084

1202000004 has 72 divisors (see below), whose sum is σ = 3161023320. Its totient is φ = 384652800.

The previous prime is 1201999973. The next prime is 1202000017. The reversal of 1202000004 is 4000002021.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 1196468100 = 2352^2 + 34590^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 1202000004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185784 + ... + 192144.

Almost surely, 21202000004 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 1202000004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580511660).

1202000004 is an abundant number, since it is smaller than the sum of its proper divisors (1959023316).

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

1202000004 is a wasteful number, since it uses less digits than its factorization.

1202000004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1202000004 is about 34669.8717044064. The cubic root of 1202000004 is about 1063.2486085561.

Adding to 1202000004 its reverse (4000002021), we get a palindrome (5202002025).

The spelling of 1202000004 in words is "one billion, two hundred two million, four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 181 261 348 362 522 543 724 1044 1086 1629 2172 3258 5249 6361 6516 10498 12722 15747 19083 20996 25444 31494 38166 47241 57249 62988 76332 94482 114498 184469 188964 228996 368938 553407 737876 1106814 1151341 1660221 2213628 2302682 3320442 3454023 4605364 6640884 6908046 10362069 13816092 20724138 33388889 41448276 66777778 100166667 133555556 200333334 300500001 400666668 601000002 1202000004