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189961728 = 2931111243
BaseRepresentation
bin10110101001010…
…01011000000000
3111020110001111120
423110221120000
5342112233403
630503312240
74464435165
oct1324513000
9436401446
10189961728
1198257070
125374b680
13304811b8
141b32c06c
1511a24e53
hexb529600

189961728 has 80 divisors (see below), whose sum is σ = 552125376. Its totient is φ = 57559040.

The previous prime is 189961727. The next prime is 189961771. The reversal of 189961728 is 827169981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189961727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11275 + ... + 22517.

Almost surely, 2189961728 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 189961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276062688).

189961728 is an abundant number, since it is smaller than the sum of its proper divisors (362163648).

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

189961728 is a wasteful number, since it uses less digits than its factorization.

189961728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11275 (or 11259 counting only the distinct ones).

The product of its digits is 435456, while the sum is 51.

The square root of 189961728 is about 13782.6604108205. The cubic root of 189961728 is about 574.8511049886.

The spelling of 189961728 in words is "one hundred eighty-nine million, nine hundred sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 11243 16896 22486 33729 44972 67458 89944 123673 134916 179888 247346 269832 359776 371019 494692 539664 719552 742038 989384 1079328 1439104 1484076 1978768 2158656 2878208 2968152 3957536 4317312 5756416 5936304 7915072 8634624 11872608 15830144 17269248 23745216 31660288 47490432 63320576 94980864 189961728