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101400640 = 2651128807
BaseRepresentation
bin1100000101101…
…00000001000000
321001210200112021
412002310001000
5201424310030
614021211224
72340614455
oct602640100
9231720467
10101400640
1152268890
1229b60b14
13180141a3
14d67782c
158d7e97a
hex60b4040

101400640 has 56 divisors (see below), whose sum is σ = 263420352. Its totient is φ = 36871680.

The previous prime is 101400619. The next prime is 101400647. The reversal of 101400640 is 46004101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101400647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10884 + ... + 17923.

Almost surely, 2101400640 is an apocalyptic number.

101400640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101400640 is an abundant number, since it is smaller than the sum of its proper divisors (162019712).

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

101400640 is a wasteful number, since it uses less digits than its factorization.

101400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28835 (or 28825 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101400640 is about 10069.7884784140. The cubic root of 101400640 is about 466.3159087636.

Adding to 101400640 its reverse (46004101), we get a palindrome (147404741).

The spelling of 101400640 in words is "one hundred one million, four hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 28807 57614 115228 144035 230456 288070 316877 460912 576140 633754 921824 1152280 1267508 1584385 1843648 2304560 2535016 3168770 4609120 5070032 6337540 9218240 10140064 12675080 20280128 25350160 50700320 101400640