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1401028608 = 21737509
BaseRepresentation
bin101001110000010…
…0000000000000000
310121122021121221110
41103200200000000
510332130403413
6351004523320
746501355340
oct12340400000
93548247843
101401028608
11659931591
12331250540
1319434ba15
14d40dcd20
1582ee98c3
hex53820000

1401028608 has 144 divisors (see below), whose sum is σ = 4278173760. Its totient is φ = 399507456.

The previous prime is 1401028597. The next prime is 1401028609. The reversal of 1401028608 is 8068201041.

It is not an unprimeable number, because it can be changed into a prime (1401028609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2752258 + ... + 2752766.

It is an arithmetic number, because the mean of its divisors is an integer number (29709540).

Almost surely, 21401028608 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 1401028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139086880).

1401028608 is an abundant number, since it is smaller than the sum of its proper divisors (2877145152).

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

1401028608 is an frugal number, since it uses more digits than its factorization.

1401028608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1401028608 is about 37430.3166964962. The cubic root of 1401028608 is about 1118.9628493905.

Adding to 1401028608 its reverse (8068201041), we get a palindrome (9469229649).

The spelling of 1401028608 in words is "one billion, four hundred one million, twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 509 512 672 768 896 1018 1024 1344 1527 1536 1792 2036 2048 2688 3054 3072 3563 3584 4072 4096 5376 6108 6144 7126 7168 8144 8192 10689 10752 12216 12288 14252 14336 16288 16384 21378 21504 24432 24576 28504 28672 32576 32768 42756 43008 48864 49152 57008 57344 65152 65536 85512 86016 97728 98304 114016 114688 130304 131072 171024 172032 195456 196608 228032 229376 260608 342048 344064 390912 393216 456064 458752 521216 684096 688128 781824 912128 917504 1042432 1368192 1376256 1563648 1824256 2084864 2736384 2752512 3127296 3648512 4169728 5472768 6254592 7297024 8339456 10945536 12509184 14594048 16678912 21891072 25018368 29188096 33357824 43782144 50036736 58376192 66715648 87564288 100073472 116752384 175128576 200146944 233504768 350257152 467009536 700514304 1401028608