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161339904 = 2933111061
BaseRepresentation
bin10011001110111…
…01101000000000
3102020120220202000
421213131220000
5312300334104
624002024000
73666236505
oct1147355000
9366526660
10161339904
1183088070
1246048000
132756c5cb
14175db4ac
15e26e639
hex99dda00

161339904 has 160 divisors (see below), whose sum is σ = 521484480. Its totient is φ = 48844800.

The previous prime is 161339891. The next prime is 161339923. The reversal of 161339904 is 409933161.

161339904 is a `hidden beast` number, since 1 + 613 + 39 + 9 + 0 + 4 = 666.

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 15 ways as a sum of consecutive naturals, for example, 151534 + ... + 152594.

It is an arithmetic number, because the mean of its divisors is an integer number (3259278).

Almost surely, 2161339904 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 161339904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260742240).

161339904 is an abundant number, since it is smaller than the sum of its proper divisors (360144576).

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

161339904 is a wasteful number, since it uses less digits than its factorization.

161339904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 161339904 is about 12701.9645724589. The cubic root of 161339904 is about 544.3947538465.

The spelling of 161339904 in words is "one hundred sixty-one million, three hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1061 1152 1188 1408 1536 1584 1728 2112 2122 2304 2376 2816 3168 3183 3456 4224 4244 4608 4752 5632 6336 6366 6912 8448 8488 9504 9549 11671 12672 12732 13824 16896 16976 19008 19098 23342 25344 25464 28647 33952 35013 38016 38196 46684 50688 50928 57294 67904 70026 76032 76392 93368 101856 105039 114588 135808 140052 152064 152784 186736 203712 210078 229176 271616 280104 305568 315117 373472 407424 420156 458352 543232 560208 611136 630234 746944 814848 840312 916704 1120416 1222272 1260468 1493888 1629696 1680624 1833408 2240832 2444544 2520936 2987776 3361248 3666816 4481664 4889088 5041872 5975552 6722496 7333632 8963328 10083744 13444992 14667264 17926656 20167488 26889984 40334976 53779968 80669952 161339904