Search a number
-
+
99996400 = 2452771503
BaseRepresentation
bin1011111010111…
…01001011110000
320222011100021101
411331131023300
5201044341100
613531134144
72322645460
oct575351360
9228140241
1099996400
1151499859
12295a4354
1317941c8a
14d3cdba0
158ba386a
hex5f5d2f0

99996400 has 120 divisors (see below), whose sum is σ = 278982144. Its totient is φ = 33734400.

The previous prime is 99996389. The next prime is 99996409. The reversal of 99996400 is 469999.

It is a happy number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99996409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198549 + ... + 199051.

Almost surely, 299996400 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 99996400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139491072).

99996400 is an abundant number, since it is smaller than the sum of its proper divisors (178985744).

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

99996400 is a wasteful number, since it uses less digits than its factorization.

99996400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 46.

The square root of 99996400 is about 9999.8199983800. The cubic root of 99996400 is about 464.1533133878.

The spelling of 99996400 in words is "ninety-nine million, nine hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 71 80 100 112 140 142 175 200 280 284 350 355 400 497 503 560 568 700 710 994 1006 1136 1400 1420 1775 1988 2012 2485 2515 2800 2840 3521 3550 3976 4024 4970 5030 5680 7042 7100 7952 8048 9940 10060 12425 12575 14084 14200 17605 19880 20120 24850 25150 28168 28400 35210 35713 39760 40240 49700 50300 56336 70420 71426 88025 99400 100600 140840 142852 176050 178565 198800 201200 249991 281680 285704 352100 357130 499982 571408 704200 714260 892825 999964 1249955 1408400 1428520 1785650 1999928 2499910 2857040 3571300 3999856 4999820 6249775 7142600 9999640 12499550 14285200 19999280 24999100 49998200 99996400