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99201984 = 2637312381
BaseRepresentation
bin1011110100110…
…11001111000000
320220122222112120
411322123033000
5200343430414
613502124240
72313126420
oct572331700
9226588476
1099201984
1150aa6a12
1229280680
13177244cb
14d264480
158a982a9
hex5e9b3c0

99201984 has 112 divisors (see below), whose sum is σ = 309774336. Its totient is φ = 27417600.

The previous prime is 99201943. The next prime is 99202027. The reversal of 99201984 is 48910299.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 40474 + ... + 42854.

Almost surely, 299201984 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 99201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154887168).

99201984 is an abundant number, since it is smaller than the sum of its proper divisors (210572352).

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

99201984 is a wasteful number, since it uses less digits than its factorization.

99201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 99201984 is about 9960.0192770898. The cubic root of 99201984 is about 462.9208970033.

The spelling of 99201984 in words is "ninety-nine million, two hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2381 2604 2976 3472 4762 5208 5952 6944 7143 9524 10416 13888 14286 16667 19048 20832 28572 33334 38096 41664 50001 57144 66668 73811 76192 100002 114288 133336 147622 152384 200004 221433 228576 266672 295244 400008 442866 457152 516677 533344 590488 800016 885732 1033354 1066688 1180976 1550031 1600032 1771464 2066708 2361952 3100062 3200064 3542928 4133416 4723904 6200124 7085856 8266832 12400248 14171712 16533664 24800496 33067328 49600992 99201984