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601903980 = 223357315269
BaseRepresentation
bin100011111000000…
…101001101101100
31112221120220001000
4203320011031230
52213041411410
6135420520300
720626046046
oct4370051554
91487526030
10601903980
11289839407
121496b0090
1397914402
1459d20a96
1537c96dc0
hex23e0536c

601903980 has 96 divisors (see below), whose sum is σ = 1898366400. Its totient is φ = 158298624.

The previous prime is 601903933. The next prime is 601903993. The reversal of 601903980 is 89309106.

It is a super-2 number, since 2×6019039802 = 724576802279680800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31786 + ... + 47054.

It is an arithmetic number, because the mean of its divisors is an integer number (19774650).

Almost surely, 2601903980 is an apocalyptic number.

601903980 is a gapful number since it is divisible by the number (60) 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 601903980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949183200).

601903980 is an abundant number, since it is smaller than the sum of its proper divisors (1296462420).

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

601903980 is a wasteful number, since it uses less digits than its factorization.

601903980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15360 (or 15352 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 601903980 is about 24533.7314732187. The cubic root of 601903980 is about 844.3238782291.

The spelling of 601903980 in words is "six hundred one million, nine hundred three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 135 146 180 219 270 292 365 438 540 657 730 876 1095 1314 1460 1971 2190 2628 3285 3942 4380 6570 7884 9855 13140 15269 19710 30538 39420 45807 61076 76345 91614 137421 152690 183228 229035 274842 305380 412263 458070 549684 687105 824526 916140 1114637 1374210 1649052 2061315 2229274 2748420 3343911 4122630 4458548 5573185 6687822 8245260 10031733 11146370 13375644 16719555 20063466 22292740 30095199 33439110 40126932 50158665 60190398 66878220 100317330 120380796 150475995 200634660 300951990 601903980