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1400128640 = 2753170571
BaseRepresentation
bin101001101110100…
…0100010010000000
310121120120220102022
41103131010102000
510331413104030
6350533341012
746460616461
oct12335042200
93546526368
101400128640
11659377409
12330a97768
131940c51b1
14d3d46d68
1582dbcde5
hex53744480

1400128640 has 64 divisors (see below), whose sum is σ = 3455205120. Its totient is φ = 541977600.

The previous prime is 1400128621. The next prime is 1400128643. The reversal of 1400128640 is 468210041.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1400128643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15446 + ... + 55125.

It is an arithmetic number, because the mean of its divisors is an integer number (53987580).

Almost surely, 21400128640 is an apocalyptic number.

1400128640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400128640 is an abundant number, since it is smaller than the sum of its proper divisors (2055076480).

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

1400128640 is an equidigital number, since it uses as much as digits as its factorization.

1400128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70621 (or 70609 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 1400128640 is about 37418.2928525608. The cubic root of 1400128640 is about 1118.7232048762.

Adding to 1400128640 its reverse (468210041), we get a palindrome (1868338681).

The spelling of 1400128640 in words is "one billion, four hundred million, one hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 70571 141142 282284 352855 564568 705710 1129136 1411420 2187701 2258272 2822840 4375402 4516544 5645680 8750804 9033088 10938505 11291360 17501608 21877010 22582720 35003216 43754020 45165440 70006432 87508040 140012864 175016080 280025728 350032160 700064320 1400128640