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194607072 = 253211471307
BaseRepresentation
bin10111001100101…
…11011111100000
3111120012001201100
423212113133200
5344304411242
631151034400
74552063362
oct1346273740
9446161640
10194607072
119a93a1a0
125520ba00
133141971a
141bbbad32
151214154c
hexb9977e0

194607072 has 144 divisors (see below), whose sum is σ = 617041152. Its totient is φ = 57672960.

The previous prime is 194607059. The next prime is 194607107. The reversal of 194607072 is 270706491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 148243 + ... + 149549.

It is an arithmetic number, because the mean of its divisors is an integer number (4285008).

Almost surely, 2194607072 is an apocalyptic number.

194607072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194607072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308520576).

194607072 is an abundant number, since it is smaller than the sum of its proper divisors (422434080).

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

194607072 is a wasteful number, since it uses less digits than its factorization.

194607072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 194607072 is about 13950.1638700053. The cubic root of 194607072 is about 579.4992427735.

The spelling of 194607072 in words is "one hundred ninety-four million, six hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 47 48 66 72 88 94 96 99 132 141 144 176 188 198 264 282 288 352 376 396 423 517 528 564 752 792 846 1034 1056 1128 1307 1504 1551 1584 1692 2068 2256 2614 3102 3168 3384 3921 4136 4512 4653 5228 6204 6768 7842 8272 9306 10456 11763 12408 13536 14377 15684 16544 18612 20912 23526 24816 28754 31368 37224 41824 43131 47052 49632 57508 61429 62736 74448 86262 94104 115016 122858 125472 129393 148896 172524 184287 188208 230032 245716 258786 345048 368574 376416 460064 491432 517572 552861 675719 690096 737148 982864 1035144 1105722 1351438 1380192 1474296 1965728 2027157 2070288 2211444 2702876 2948592 4054314 4140576 4422888 5405752 5897184 6081471 8108628 8845776 10811504 12162942 16217256 17691552 21623008 24325884 32434512 48651768 64869024 97303536 194607072