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1398100 = 2252113141
BaseRepresentation
bin101010101010101010100
32122000211111
411111111110
5324214400
645544404
714612044
oct5252524
92560744
101398100
11875460
12575104
1339c4a2
14285724
151c93ba
hex155554

1398100 has 72 divisors (see below), whose sum is σ = 3499776. Its totient is φ = 480000.

The previous prime is 1398091. The next prime is 1398107. The reversal of 1398100 is 18931.

It is a super-2 number, since 2×13981002 = 3909367220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398107) 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, 34080 + ... + 34120.

It is an arithmetic number, because the mean of its divisors is an integer number (48608).

21398100 is an apocalyptic number.

1398100 is a gapful number since it is divisible by the number (10) 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 1398100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749888).

1398100 is an abundant number, since it is smaller than the sum of its proper divisors (2101676).

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

1398100 is a wasteful number, since it uses less digits than its factorization.

1398100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 1398100 is about 1182.4127874816. The cubic root of 1398100 is about 111.8182639402.

The spelling of 1398100 in words is "one million, three hundred ninety-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 41 44 50 55 62 82 100 110 124 155 164 205 220 275 310 341 410 451 550 620 682 775 820 902 1025 1100 1271 1364 1550 1705 1804 2050 2255 2542 3100 3410 4100 4510 5084 6355 6820 8525 9020 11275 12710 13981 17050 22550 25420 27962 31775 34100 45100 55924 63550 69905 127100 139810 279620 349525 699050 1398100