Search a number
-
+
2928107960 = 235295397491
BaseRepresentation
bin1010111010000111…
…0110000110111000
321120001202021222222
42232201312012320
521444043423320
61202315303212
7132363335621
oct25641660670
97501667888
102928107960
111272927938
1269874ab08
1337883277b
141dac50a48
151220e2825
hexae8761b8

2928107960 has 128 divisors (see below), whose sum is σ = 7029892800. Its totient is φ = 1095843840.

The previous prime is 2928107951. The next prime is 2928107969. The reversal of 2928107960 is 697018292.

It is a happy number.

2928107960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2928107951) and next prime (2928107969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928107969) 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, 5963315 + ... + 5963805.

Almost surely, 22928107960 is an apocalyptic number.

2928107960 is a gapful number since it is divisible by the number (20) 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 2928107960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514946400).

2928107960 is an abundant number, since it is smaller than the sum of its proper divisors (4101784840).

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

2928107960 is a wasteful number, since it uses less digits than its factorization.

2928107960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 2928107960 is about 54111.9946037845. The cubic root of 2928107960 is about 1430.6356018432.

The spelling of 2928107960 in words is "two billion, nine hundred twenty-eight million, one hundred seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 97 106 116 145 194 212 232 265 290 388 424 485 491 530 580 776 970 982 1060 1160 1537 1940 1964 2120 2455 2813 3074 3880 3928 4910 5141 5626 6148 7685 9820 10282 11252 12296 14065 14239 15370 19640 20564 22504 25705 26023 28130 28478 30740 41128 47627 51410 52046 56260 56956 61480 71195 95254 102820 104092 112520 113912 130115 142390 149089 190508 205640 208184 238135 260230 284780 298178 381016 476270 520460 569560 596356 745445 754667 952540 1040920 1192712 1381183 1490890 1509334 1905080 2524231 2762366 2981780 3018668 3773335 5048462 5524732 5963560 6037336 6905915 7546670 10096924 11049464 12621155 13811830 15093340 20193848 25242310 27623660 30186680 50484620 55247320 73202699 100969240 146405398 292810796 366013495 585621592 732026990 1464053980 2928107960