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1630890272 = 25114592
BaseRepresentation
bin110000100110101…
…0110100100100000
311012122210210212102
41201031112210200
511320001442042
6425455345532
755262224064
oct14115264440
94178723772
101630890272
11767660000
123962222a8
131ccb6003b
14116855aa4
15982a1b32
hex61356920

1630890272 has 90 divisors (see below), whose sum is σ = 3592751715. Its totient is φ = 728749120.

The previous prime is 1630890263. The next prime is 1630890281. The reversal of 1630890272 is 2720980361.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1630890263) and next prime (1630890281).

It can be written as a sum of positive squares in only one way, i.e., 815445136 + 815445136 = 28556^2 + 28556^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=28556.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 27642179 + ... + 27642237.

Almost surely, 21630890272 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 1630890272

1630890272 is an abundant number, since it is smaller than the sum of its proper divisors (1961861443).

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

1630890272 is an frugal number, since it uses more digits than its factorization.

1630890272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 1630890272 is about 40384.2824871261. The cubic root of 1630890272 is about 1177.0861438683.

The spelling of 1630890272 in words is "one billion, six hundred thirty million, eight hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 121 176 236 242 352 472 484 649 944 968 1298 1331 1888 1936 2596 2662 3481 3872 5192 5324 6962 7139 10384 10648 13924 14278 14641 20768 21296 27848 28556 29282 38291 42592 55696 57112 58564 76582 78529 111392 114224 117128 153164 157058 228448 234256 306328 314116 421201 468512 612656 628232 842402 863819 1225312 1256464 1684804 1727638 2512928 3369608 3455276 4633211 6739216 6910552 9266422 13478432 13821104 18532844 27642208 37065688 50965321 74131376 101930642 148262752 203861284 407722568 815445136 1630890272