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128204964 = 223331149257
BaseRepresentation
bin1111010010001…
…00000010100100
322221020111011000
413221010002210
5230310024324
620415513300
73114503256
oct751040244
9287214130
10128204964
1166406318
1236b28830
132073a734
1413053cd6
15b3c69c9
hex7a440a4

128204964 has 96 divisors (see below), whose sum is σ = 346752000. Its totient is φ = 40919040.

The previous prime is 128204953. The next prime is 128204971. The reversal of 128204964 is 469402821.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 498724 + ... + 498980.

It is an arithmetic number, because the mean of its divisors is an integer number (3612000).

Almost surely, 2128204964 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 128204964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173376000).

128204964 is an abundant number, since it is smaller than the sum of its proper divisors (218547036).

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

128204964 is a wasteful number, since it uses less digits than its factorization.

128204964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 128204964 is about 11322.7630903415. The cubic root of 128204964 is about 504.2372748987.

The spelling of 128204964 in words is "one hundred twenty-eight million, two hundred four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 149 186 257 279 298 372 447 514 558 596 771 837 894 1028 1116 1341 1542 1674 1788 2313 2682 3084 3348 4023 4619 4626 5364 6939 7967 8046 9238 9252 13857 13878 15934 16092 18476 23901 27714 27756 31868 38293 41571 47802 55428 71703 76586 83142 95604 114879 124713 143406 153172 166284 215109 229758 249426 286812 344637 430218 459516 498852 689274 860436 1033911 1187083 1378548 2067822 2374166 3561249 4135644 4748332 7122498 10683747 14244996 21367494 32051241 42734988 64102482 128204964