Search a number
-
+
19642368 = 211323139
BaseRepresentation
bin100101011101…
…1100000000000
31100221221021010
41022323200000
520012023433
61541000520
7325646244
oct112734000
940857233
1019642368
11100a6669
1266b3140
1340b9705
142874424
151acee63
hex12bb800

19642368 has 96 divisors (see below), whose sum is σ = 55036800. Its totient is φ = 6217728.

The previous prime is 19642349. The next prime is 19642387. The reversal of 19642368 is 86324691.

It is an interprime number because it is at equal distance from previous prime (19642349) and next prime (19642387).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141243 + ... + 141381.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 219642368 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 19642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

19642368 is an abundant number, since it is smaller than the sum of its proper divisors (35394432).

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

19642368 is a wasteful number, since it uses less digits than its factorization.

19642368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 19642368 is about 4431.9711190395. The cubic root of 19642368 is about 269.8140832590.

The spelling of 19642368 in words is "nineteen million, six hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 139 184 192 256 276 278 368 384 417 512 552 556 736 768 834 1024 1104 1112 1472 1536 1668 2048 2208 2224 2944 3072 3197 3336 4416 4448 5888 6144 6394 6672 8832 8896 9591 11776 12788 13344 17664 17792 19182 23552 25576 26688 35328 35584 38364 47104 51152 53376 70656 71168 76728 102304 106752 141312 142336 153456 204608 213504 284672 306912 409216 427008 613824 818432 854016 1227648 1636864 2455296 3273728 4910592 6547456 9821184 19642368