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1620542144 = 26135933013
BaseRepresentation
bin110000010010111…
…1000001011000000
311011221100001220102
41200211320023000
511304324322034
6424445501532
755105244444
oct14045701300
94157301812
101620542144
11761832331
123928718a8
131ca978ba0
14115320824
159740a97e
hex609782c0

1620542144 has 56 divisors (see below), whose sum is σ = 3521933520. Its totient is φ = 735243264.

The previous prime is 1620542137. The next prime is 1620542149. The reversal of 1620542144 is 4412450261.

It is not an unprimeable number, because it can be changed into a prime (1620542149) 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, 32582 + ... + 65594.

It is an arithmetic number, because the mean of its divisors is an integer number (62891670).

Almost surely, 21620542144 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 1620542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760966760).

1620542144 is an abundant number, since it is smaller than the sum of its proper divisors (1901391376).

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

1620542144 is a wasteful number, since it uses less digits than its factorization.

1620542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33097 (or 33087 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 1620542144 is about 40255.9578696123. The cubic root of 1620542144 is about 1174.5912914424.

The spelling of 1620542144 in words is "one billion, six hundred twenty million, five hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 208 236 416 472 767 832 944 1534 1888 3068 3776 6136 12272 24544 33013 49088 66026 132052 264104 429169 528208 858338 1056416 1716676 1947767 2112832 3433352 3895534 6866704 7791068 13733408 15582136 25320971 27466816 31164272 50641942 62328544 101283884 124657088 202567768 405135536 810271072 1620542144