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189170064 = 2432411792
BaseRepresentation
bin10110100011010…
…00000110010000
3111011221211112200
423101220012100
5341411420224
630434323200
74454630136
oct1321500620
9434854480
10189170064
11978662a6
1253429500
1330264a65
141b1a3756
151191a5c9
hexb468190

189170064 has 90 divisors (see below), whose sum is σ = 545372646. Its totient is φ = 61175040.

The previous prime is 189170053. The next prime is 189170081. The reversal of 189170064 is 460071981.

It can be written as a sum of positive squares in only one way, i.e., 115347600 + 73822464 = 10740^2 + 8592^2 .

It is a super-2 number, since 2×1891700642 = 71570626227528192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1056727 + ... + 1056905.

Almost surely, 2189170064 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 189170064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272686323).

189170064 is an abundant number, since it is smaller than the sum of its proper divisors (356202582).

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

189170064 is a wasteful number, since it uses less digits than its factorization.

189170064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 189170064 is about 13753.9108620058. The cubic root of 189170064 is about 574.0514305999.

The spelling of 189170064 in words is "one hundred eighty-nine million, one hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 179 246 328 358 369 492 537 656 716 738 984 1074 1432 1476 1611 1968 2148 2864 2952 3222 4296 5904 6444 7339 8592 12888 14678 22017 25776 29356 32041 44034 58712 64082 66051 88068 96123 117424 128164 132102 176136 192246 256328 264204 288369 352272 384492 512656 528408 576738 768984 1056816 1153476 1313681 1537968 2306952 2627362 3941043 4613904 5254724 7882086 10509448 11823129 15764172 21018896 23646258 31528344 47292516 63056688 94585032 189170064