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202402020 = 223529891307
BaseRepresentation
bin11000001000001…
…10100011100100
3112002212002101010
430010012203210
5403303331040
632030102220
75005250232
oct1404064344
9462762333
10202402020
11a42836a7
125794a970
1332c18712
141cc49952
1512b80e80
hexc1068e4

202402020 has 96 divisors (see below), whose sum is σ = 593308800. Its totient is φ = 51487744.

The previous prime is 202402009. The next prime is 202402021. The reversal of 202402020 is 20204202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202401987 and 202402005.

It is not an unprimeable number, because it can be changed into a prime (202402021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154207 + ... + 155513.

It is an arithmetic number, because the mean of its divisors is an integer number (6180300).

Almost surely, 2202402020 is an apocalyptic number.

202402020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296654400).

202402020 is an abundant number, since it is smaller than the sum of its proper divisors (390906780).

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

202402020 is a wasteful number, since it uses less digits than its factorization.

202402020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 202402020 is about 14226.8063879424. The cubic root of 202402020 is about 587.1354200980.

Adding to 202402020 its reverse (20204202), we get a palindrome (222606222).

The spelling of 202402020 in words is "two hundred two million, four hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 89 116 145 174 178 267 290 348 356 435 445 534 580 870 890 1068 1307 1335 1740 1780 2581 2614 2670 3921 5162 5228 5340 6535 7743 7842 10324 12905 13070 15486 15684 19605 25810 26140 30972 37903 38715 39210 51620 75806 77430 78420 113709 116323 151612 154860 189515 227418 232646 348969 379030 454836 465292 568545 581615 697938 758060 1137090 1163230 1395876 1744845 2274180 2326460 3373367 3489690 6746734 6979380 10120101 13493468 16866835 20240202 33733670 40480404 50600505 67467340 101201010 202402020