Search a number
-
+
4006046260 = 2251719727853
BaseRepresentation
bin1110111011000111…
…0110101000110100
3101100012002020100201
43232301312220310
531201021440020
61501303250244
7201162555106
oct35661665064
911305066321
104006046260
111776343937
12939749984
134bac5a798
142a0089576
15186a6ba0a
hexeec76a34

4006046260 has 96 divisors (see below), whose sum is σ = 9400285440. Its totient is φ = 1425143808.

The previous prime is 4006046257. The next prime is 4006046263. The reversal of 4006046260 is 626406004.

It is an interprime number because it is at equal distance from previous prime (4006046257) and next prime (4006046263).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006046263) 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, 4695994 + ... + 4696846.

It is an arithmetic number, because the mean of its divisors is an integer number (97919640).

Almost surely, 24006046260 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 4006046260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700142720).

4006046260 is an abundant number, since it is smaller than the sum of its proper divisors (5394239180).

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

4006046260 is a wasteful number, since it uses less digits than its factorization.

4006046260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4006046260 is about 63293.3350361632. The cubic root of 4006046260 is about 1588.2004692700.

It can be divided in two parts, 40060 and 46260, that added together give a triangular number (86320 = T415).

The spelling of 4006046260 in words is "four billion, six million, forty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 727 853 1292 1454 1615 1706 2908 3230 3412 3635 4265 6460 7270 8530 12359 13813 14501 14540 16207 17060 24718 27626 29002 32414 49436 55252 58004 61795 64828 69065 72505 81035 123590 138130 145010 162070 234821 247180 275519 276260 290020 324140 469642 551038 620131 939284 1102076 1174105 1240262 1377595 2348210 2480524 2755190 3100655 4696420 5510380 6201310 10542227 11782489 12402620 21084454 23564978 42168908 47129956 52711135 58912445 105422270 117824890 200302313 210844540 235649780 400604626 801209252 1001511565 2003023130 4006046260