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45880020 = 22345127223
BaseRepresentation
bin1010111100000…
…1001011010100
310012022221120000
42233001023110
543221130040
64315211300
71064654664
oct257011324
9105287500
1045880020
112399737a
1213446b30
139675054
1461441a4
154064130
hex2bc12d4

45880020 has 120 divisors (see below), whose sum is σ = 145711104. Its totient is φ = 12083904.

The previous prime is 45880019. The next prime is 45880063. The reversal of 45880020 is 2008854.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205629 + ... + 205851.

Almost surely, 245880020 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 45880020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72855552).

45880020 is an abundant number, since it is smaller than the sum of its proper divisors (99831084).

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

45880020 is a wasteful number, since it uses less digits than its factorization.

45880020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 45880020 is about 6773.4791650968. The cubic root of 45880020 is about 357.9929984170.

Adding to 45880020 its reverse (2008854), we get a palindrome (47888874).

The spelling of 45880020 in words is "forty-five million, eight hundred eighty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 127 135 162 180 223 254 270 324 381 405 446 508 540 635 669 762 810 892 1115 1143 1270 1338 1524 1620 1905 2007 2230 2286 2540 2676 3345 3429 3810 4014 4460 4572 5715 6021 6690 6858 7620 8028 10035 10287 11430 12042 13380 13716 17145 18063 20070 20574 22860 24084 28321 30105 34290 36126 40140 41148 51435 56642 60210 68580 72252 84963 90315 102870 113284 120420 141605 169926 180630 205740 254889 283210 339852 361260 424815 509778 566420 764667 849630 1019556 1274445 1529334 1699260 2294001 2548890 3058668 3823335 4588002 5097780 7646670 9176004 11470005 15293340 22940010 45880020