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120201340 = 22574143487
BaseRepresentation
bin1110010101000…
…10000001111100
322101011212020111
413022202001330
5221232420330
615532155404
72656460140
oct712420174
9271155214
10120201340
116193a056
1234308b64
131bb9776c
1411d6d220
15a84532a
hex72a207c

120201340 has 96 divisors (see below), whose sum is σ = 303012864. Its totient is φ = 39191040.

The previous prime is 120201337. The next prime is 120201343. The reversal of 120201340 is 43102021.

It is an interprime number because it is at equal distance from previous prime (120201337) and next prime (120201343).

It is a self number, because there is not a number n which added to its sum of digits gives 120201340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201343) 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, 246577 + ... + 247063.

It is an arithmetic number, because the mean of its divisors is an integer number (3156384).

Almost surely, 2120201340 is an apocalyptic number.

120201340 is a gapful number since it is divisible by the number (10) 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 120201340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151506432).

120201340 is an abundant number, since it is smaller than the sum of its proper divisors (182811524).

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

120201340 is a wasteful number, since it uses less digits than its factorization.

120201340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 120201340 is about 10963.6371702095. The cubic root of 120201340 is about 493.5181202493.

Adding to 120201340 its reverse (43102021), we get a palindrome (163303361).

The spelling of 120201340 in words is "one hundred twenty million, two hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 43 70 82 86 140 164 172 205 215 287 301 410 430 487 574 602 820 860 974 1148 1204 1435 1505 1763 1948 2435 2870 3010 3409 3526 4870 5740 6020 6818 7052 8815 9740 12341 13636 17045 17630 19967 20941 24682 34090 35260 39934 41882 49364 61705 68180 79868 83764 99835 104705 123410 139769 146587 199670 209410 246820 279538 293174 399340 418820 559076 586348 698845 732935 858581 1397690 1465870 1717162 2795380 2931740 3434324 4292905 6010067 8585810 12020134 17171620 24040268 30050335 60100670 120201340