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1661629440 = 21035108179
BaseRepresentation
bin110001100001010…
…0111010000000000
311021210122112002010
41203002213100000
511400334120230
6432514252520
756114421462
oct14302472000
94253575063
101661629440
11782a45879
123a4587140
132063335b3
1411a978132
159ad249b0
hex630a7400

1661629440 has 88 divisors (see below), whose sum is σ = 5314667040. Its totient is φ = 443097088.

The previous prime is 1661629433. The next prime is 1661629451. The reversal of 1661629440 is 449261661.

It is a super-3 number, since 3×16616294403 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38730 + ... + 69449.

Almost surely, 21661629440 is an apocalyptic number.

1661629440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1661629440 is an abundant number, since it is smaller than the sum of its proper divisors (3653037600).

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

1661629440 is a wasteful number, since it uses less digits than its factorization.

1661629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108207 (or 108189 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1661629440 is about 40763.0891861743. The cubic root of 1661629440 is about 1184.4354376002.

It can be divided in two parts, 16616 and 29440, that added together give a triangular number (46056 = T303).

The spelling of 1661629440 in words is "one billion, six hundred sixty-one million, six hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 108179 216358 324537 432716 540895 649074 865432 1081790 1298148 1622685 1730864 2163580 2596296 3245370 3461728 4327160 5192592 6490740 6923456 8654320 10385184 12981480 13846912 17308640 20770368 25962960 27693824 34617280 41540736 51925920 55387648 69234560 83081472 103851840 110775296 138469120 166162944 207703680 276938240 332325888 415407360 553876480 830814720 1661629440