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9994152 = 23371931101
BaseRepresentation
bin100110000111…
…111110101000
3200210202101210
4212013332220
510024303102
6554113120
7150643320
oct46077650
920722353
109994152
115706833
12341b7a0
1320bbccc
141482280
15d2636c
hex987fa8

9994152 has 128 divisors (see below), whose sum is σ = 31334400. Its totient is φ = 2592000.

The previous prime is 9994151. The next prime is 9994163. The reversal of 9994152 is 2514999.

It is a self number, because there is not a number n which added to its sum of digits gives 9994152.

It is not an unprimeable number, because it can be changed into a prime (9994151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98902 + ... + 99002.

It is an arithmetic number, because the mean of its divisors is an integer number (244800).

Almost surely, 29994152 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 9994152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667200).

9994152 is an abundant number, since it is smaller than the sum of its proper divisors (21340248).

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

9994152 is a wasteful number, since it uses less digits than its factorization.

9994152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its digits is 29160, while the sum is 39.

The square root of 9994152 is about 3161.3528749572. The cubic root of 9994152 is about 215.4014637003.

It can be divided in two parts, 999 and 4152, that added together give a triangular number (5151 = T101).

The spelling of 9994152 in words is "nine million, nine hundred ninety-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 31 38 42 56 57 62 76 84 93 101 114 124 133 152 168 186 202 217 228 248 266 303 372 399 404 434 456 532 589 606 651 707 744 798 808 868 1064 1178 1212 1302 1414 1596 1736 1767 1919 2121 2356 2424 2604 2828 3131 3192 3534 3838 4123 4242 4712 5208 5656 5757 6262 7068 7676 8246 8484 9393 11514 12369 12524 13433 14136 15352 16492 16968 18786 21917 23028 24738 25048 26866 32984 37572 40299 43834 46056 49476 53732 59489 65751 75144 80598 87668 98952 107464 118978 131502 161196 175336 178467 237956 263004 322392 356934 416423 475912 526008 713868 832846 1249269 1427736 1665692 2498538 3331384 4997076 9994152