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241387920 = 24325335261
BaseRepresentation
bin11100110001101…
…00100110010000
3121211012202222100
432120310212100
5443243403140
635541440400
75660522604
oct1630644620
9554182870
10241387920
11114291354
1268a10100
133b0187b7
14240b7504
15162d2530
hexe634990

241387920 has 60 divisors (see below), whose sum is σ = 810663516. Its totient is φ = 64369920.

The previous prime is 241387907. The next prime is 241387931. The reversal of 241387920 is 29783142.

It can be written as a sum of positive squares in 2 ways, for example, as 121616784 + 119771136 = 11028^2 + 10944^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

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, 166911 + ... + 168350.

Almost surely, 2241387920 is an apocalyptic number.

241387920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241387920 is an abundant number, since it is smaller than the sum of its proper divisors (569275596).

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

241387920 is a wasteful number, since it uses less digits than its factorization.

241387920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335280 (or 335271 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 241387920 is about 15536.6637345345. The cubic root of 241387920 is about 622.6421410545.

The spelling of 241387920 in words is "two hundred forty-one million, three hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 335261 670522 1005783 1341044 1676305 2011566 2682088 3017349 3352610 4023132 5028915 5364176 6034698 6705220 8046264 10057830 12069396 13410440 15086745 16092528 20115660 24138792 26820880 30173490 40231320 48277584 60346980 80462640 120693960 241387920