Search a number
-
+
1020291948 = 2232132180111
BaseRepresentation
bin111100110100000…
…110101101101100
32122002212012102200
4330310012231230
54042143320243
6245124221500
734166224044
oct7464065554
92562765380
101020291948
11483a23495
1224583a890
131334c3460
1499710724
155e88dad3
hex3cd06b6c

1020291948 has 36 divisors (see below), whose sum is σ = 2777462688. Its totient is φ = 313935840.

The previous prime is 1020291919. The next prime is 1020291967. The reversal of 1020291948 is 8491920201.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1089588 + ... + 1090523.

Almost surely, 21020291948 is an apocalyptic number.

1020291948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1020291948 is an abundant number, since it is smaller than the sum of its proper divisors (1757170740).

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

1020291948 is a wasteful number, since it uses less digits than its factorization.

1020291948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180134 (or 2180129 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1020291948 is about 31942.0091415678. The cubic root of 1020291948 is about 1006.7187401002.

The spelling of 1020291948 in words is "one billion, twenty million, two hundred ninety-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2180111 4360222 6540333 8720444 13080666 19620999 26161332 28341443 39241998 56682886 78483996 85024329 113365772 170048658 255072987 340097316 510145974 1020291948