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2098440 = 233352967
BaseRepresentation
bin1000000000010100001000
310221121112000
420000110020
51014122230
6112551000
723556621
oct10002410
93847460
102098440
111203653
12852460
135861a6
143c8a48
152b6b60
hex200508

2098440 has 128 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 532224.

The previous prime is 2098427. The next prime is 2098441. The reversal of 2098440 is 448902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31287 + ... + 31353.

It is an arithmetic number, because the mean of its divisors is an integer number (57375).

22098440 is an apocalyptic number.

2098440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2098440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2098440 is an abundant number, since it is smaller than the sum of its proper divisors (5245560).

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

2098440 is a wasteful number, since it uses less digits than its factorization.

2098440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2098440 is about 1448.5993234846. The cubic root of 2098440 is about 128.0261990643.

It can be divided in two parts, 209 and 8440, that added together give a square (8649 = 932).

The spelling of 2098440 in words is "two million, ninety-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 67 72 87 90 108 116 120 134 135 145 174 180 201 216 232 261 268 270 290 335 348 360 402 435 522 536 540 580 603 670 696 783 804 870 1005 1044 1080 1160 1206 1305 1340 1566 1608 1740 1809 1943 2010 2088 2412 2610 2680 3015 3132 3480 3618 3886 3915 4020 4824 5220 5829 6030 6264 7236 7772 7830 8040 9045 9715 10440 11658 12060 14472 15544 15660 17487 18090 19430 23316 24120 29145 31320 34974 36180 38860 46632 52461 58290 69948 72360 77720 87435 104922 116580 139896 174870 209844 233160 262305 349740 419688 524610 699480 1049220 2098440