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401221140 = 223547731949
BaseRepresentation
bin10111111010100…
…010011000010100
31000221222010221020
4113322202120110
51310203034030
6103451321140
712641215635
oct2772423024
91027863836
10401221140
1119652a421
12b24501b0
136517b378
143b40188c
1525355510
hex17ea2614

401221140 has 96 divisors (see below), whose sum is σ = 1163635200. Its totient is φ = 103228416.

The previous prime is 401221129. The next prime is 401221147. The reversal of 401221140 is 41122104.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401221147) 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, 204886 + ... + 206834.

It is an arithmetic number, because the mean of its divisors is an integer number (12121200).

Almost surely, 2401221140 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 401221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581817600).

401221140 is an abundant number, since it is smaller than the sum of its proper divisors (762414060).

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

401221140 is a wasteful number, since it uses less digits than its factorization.

401221140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 401221140 is about 20030.5052357648. The cubic root of 401221140 is about 737.5553243951. Note that the first 3 decimals are identical.

Adding to 401221140 its reverse (41122104), we get a palindrome (442343244).

It can be divided in two parts, 4012 and 21140, that added together give a palindrome (25152).

The spelling of 401221140 in words is "four hundred one million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 73 94 141 146 188 219 235 282 292 365 438 470 564 705 730 876 940 1095 1410 1460 1949 2190 2820 3431 3898 4380 5847 6862 7796 9745 10293 11694 13724 17155 19490 20586 23388 29235 34310 38980 41172 51465 58470 68620 91603 102930 116940 142277 183206 205860 274809 284554 366412 426831 458015 549618 569108 711385 853662 916030 1099236 1374045 1422770 1707324 1832060 2134155 2748090 2845540 4268310 5496180 6687019 8536620 13374038 20061057 26748076 33435095 40122114 66870190 80244228 100305285 133740380 200610570 401221140