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1401203772 = 223413133013
BaseRepresentation
bin101001110000100…
…1010110000111100
310121122121112020000
41103201022300330
510332202010042
6351012354300
746503015123
oct12341126074
93548545200
101401203772
11659a41151
12331315990
131943b0677
14d4146aba
158303174c
hex5384ac3c

1401203772 has 60 divisors (see below), whose sum is σ = 3691097256. Its totient is φ = 463488480.

The previous prime is 1401203761. The next prime is 1401203789. The reversal of 1401203772 is 2773021041.

It is a happy number.

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 19 ways as a sum of consecutive naturals, for example, 25938 + ... + 58950.

Almost surely, 21401203772 is an apocalyptic number.

1401203772 is a gapful number since it is divisible by the number (12) 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 1401203772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845548628).

1401203772 is an abundant number, since it is smaller than the sum of its proper divisors (2289893484).

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

1401203772 is a wasteful number, since it uses less digits than its factorization.

1401203772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33160 (or 33149 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1401203772 is about 37432.6564913579. The cubic root of 1401203772 is about 1119.0094803299.

It can be divided in two parts, 1401203 and 772, that added together give a triangular number (1401975 = T1674).

The spelling of 1401203772 in words is "one billion, four hundred one million, two hundred three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 131 162 262 324 393 524 786 1179 1572 2358 3537 4716 7074 10611 14148 21222 33013 42444 66026 99039 132052 198078 297117 396156 594234 891351 1188468 1782702 2674053 3565404 4324703 5348106 8649406 10696212 12974109 17298812 25948218 38922327 51896436 77844654 116766981 155689308 233533962 350300943 467067924 700601886 1401203772