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1671214140 = 2233510330047
BaseRepresentation
bin110001110011100…
…1011010000111100
311022110200110211000
41203213023100330
511410312323030
6433455530300
756262041301
oct14347132074
94273613730
101671214140
117883a1a12
123a7829990
1320830b10b
1411bd510a8
159bab9860
hex639cb43c

1671214140 has 96 divisors (see below), whose sum is σ = 5249986560. Its totient is φ = 441315648.

The previous prime is 1671214099. The next prime is 1671214147. The reversal of 1671214140 is 414121761.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1671214147) 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, 40597 + ... + 70643.

It is an arithmetic number, because the mean of its divisors is an integer number (54687360).

Almost surely, 21671214140 is an apocalyptic number.

1671214140 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 1671214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624993280).

1671214140 is an abundant number, since it is smaller than the sum of its proper divisors (3578772420).

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

1671214140 is a wasteful number, since it uses less digits than its factorization.

1671214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30168 (or 30160 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1671214140 is about 40880.4860538619. The cubic root of 1671214140 is about 1186.7084474131.

The spelling of 1671214140 in words is "one billion, six hundred seventy-one million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 103 108 135 180 206 270 309 412 515 540 618 927 1030 1236 1545 1854 2060 2781 3090 3708 4635 5562 6180 9270 11124 13905 18540 27810 30047 55620 60094 90141 120188 150235 180282 270423 300470 360564 450705 540846 600940 811269 901410 1081692 1352115 1622538 1802820 2704230 3094841 3245076 4056345 5408460 6189682 8112690 9284523 12379364 15474205 16225380 18569046 27853569 30948410 37138092 46422615 55707138 61896820 83560707 92845230 111414276 139267845 167121414 185690460 278535690 334242828 417803535 557071380 835607070 1671214140