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196137744 = 243112331521
BaseRepresentation
bin10111011000011…
…01001100010000
3111200001211101220
423230031030100
5400202401434
631243525040
74601100105
oct1354151420
9450054356
10196137744
11a0795210
1255829780
133183434a
141c098aac
1512344d49
hexbb0d310

196137744 has 160 divisors (see below), whose sum is σ = 596533248. Its totient is φ = 54912000.

The previous prime is 196137679. The next prime is 196137763. The reversal of 196137744 is 447731691.

It is a junction number, because it is equal to n+sod(n) for n = 196137696 and 196137705.

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, 376204 + ... + 376724.

Almost surely, 2196137744 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 196137744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298266624).

196137744 is an abundant number, since it is smaller than the sum of its proper divisors (400395504).

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

196137744 is a wasteful number, since it uses less digits than its factorization.

196137744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 591 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 196137744 is about 14004.9185645615. The cubic root of 196137744 is about 581.0146172372.

The spelling of 196137744 in words is "one hundred ninety-six million, one hundred thirty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 31 33 44 46 48 62 66 69 88 92 93 124 132 138 176 184 186 248 253 264 276 341 368 372 496 506 521 528 552 682 713 744 759 1012 1023 1042 1104 1364 1426 1488 1518 1563 2024 2046 2084 2139 2728 2852 3036 3126 4048 4092 4168 4278 5456 5704 5731 6072 6252 7843 8184 8336 8556 11408 11462 11983 12144 12504 15686 16151 16368 17112 17193 22924 23529 23966 25008 31372 32302 34224 34386 35949 45848 47058 47932 48453 62744 64604 68772 71898 91696 94116 95864 96906 125488 129208 131813 137544 143796 177661 188232 191728 193812 258416 263626 275088 287592 355322 371473 376464 387624 395439 527252 532983 575184 710644 742946 775248 790878 1054504 1065966 1114419 1421288 1485892 1581756 2109008 2131932 2228838 2842576 2971784 3163512 4086203 4263864 4457676 5943568 6327024 8172406 8527728 8915352 12258609 16344812 17830704 24517218 32689624 49034436 65379248 98068872 196137744