Search a number
-
+
1021553004 = 223233739923
BaseRepresentation
bin111100111000111…
…010100101101100
32122012020021021110
4330320322211230
54043004144004
6245211232020
734213025433
oct7470724554
92565207243
101021553004
1148470498a
12246148610
13133845444
149995c11a
155ea3c589
hex3ce3a96c

1021553004 has 48 divisors (see below), whose sum is σ = 2494179072. Its totient is φ = 324806592.

The previous prime is 1021552937. The next prime is 1021553023. The reversal of 1021553004 is 4003551201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97987 + ... + 107909.

It is an arithmetic number, because the mean of its divisors is an integer number (51962064).

Almost surely, 21021553004 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 1021553004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247089536).

1021553004 is an abundant number, since it is smaller than the sum of its proper divisors (1472626068).

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

1021553004 is a wasteful number, since it uses less digits than its factorization.

1021553004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10326 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1021553004 is about 31961.7428185636. The cubic root of 1021553004 is about 1007.1333292882.

The spelling of 1021553004 in words is "one billion, twenty-one million, five hundred fifty-three thousand, four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 373 746 1119 1492 2238 4476 8579 9923 17158 19846 25737 29769 34316 39692 51474 59538 102948 119076 228229 456458 684687 912916 1369374 2738748 3701279 7402558 11103837 14805116 22207674 44415348 85129417 170258834 255388251 340517668 510776502 1021553004