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99997360 = 2454143709
BaseRepresentation
bin1011111010111…
…01011010110000
320222011101120221
411331131122300
5201044403420
613531142424
72322651331
oct575353260
9228141527
1099997360
115149a551
12295a4a14
1317942548
14d3d0288
158ba3caa
hex5f5d6b0

99997360 has 80 divisors (see below), whose sum is σ = 244046880. Its totient is φ = 38062080.

The previous prime is 99997357. The next prime is 99997367. The reversal of 99997360 is 6379999.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 99997298 and 99997307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99997367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140686 + ... + 141394.

It is an arithmetic number, because the mean of its divisors is an integer number (3050586).

Almost surely, 299997360 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 99997360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122023440).

99997360 is an abundant number, since it is smaller than the sum of its proper divisors (144049520).

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

99997360 is a wasteful number, since it uses less digits than its factorization.

99997360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 826686, while the sum is 52.

The square root of 99997360 is about 9999.8679991288. The cubic root of 99997360 is about 464.1547987272.

The spelling of 99997360 in words is "ninety-nine million, nine hundred ninety-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 43 80 82 86 164 172 205 215 328 344 410 430 656 688 709 820 860 1418 1640 1720 1763 2836 3280 3440 3526 3545 5672 7052 7090 8815 11344 14104 14180 17630 28208 28360 29069 30487 35260 56720 58138 60974 70520 116276 121948 141040 145345 152435 232552 243896 290690 304870 465104 487792 581380 609740 1162760 1219480 1249967 2325520 2438960 2499934 4999868 6249835 9999736 12499670 19999472 24999340 49998680 99997360