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1097773152 = 25371998209
BaseRepresentation
bin100000101101110…
…1011000001100000
32211111122122122220
41001123223001200
54222012220102
6300533031040
736126626550
oct10133530140
92744578586
101097773152
11513734243
12267785480
13146581218
14a5b1d160
15665961bc
hex416eb060

1097773152 has 96 divisors (see below), whose sum is σ = 3310272000. Its totient is φ = 312035328.

The previous prime is 1097773151. The next prime is 1097773213. The reversal of 1097773152 is 2513777901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097773151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129624 + ... + 137832.

It is an arithmetic number, because the mean of its divisors is an integer number (34482000).

Almost surely, 21097773152 is an apocalyptic number.

1097773152 is a gapful number since it is divisible by the number (12) 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 1097773152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655136000).

1097773152 is an abundant number, since it is smaller than the sum of its proper divisors (2212498848).

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

1097773152 is a wasteful number, since it uses less digits than its factorization.

1097773152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8428 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 42.

The square root of 1097773152 is about 33132.6598992595. The cubic root of 1097773152 is about 1031.5830597453.

The spelling of 1097773152 in words is "one billion, ninety-seven million, seven hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 199 224 336 398 597 672 796 1194 1393 1592 2388 2786 3184 4179 4776 5572 6368 8209 8358 9552 11144 16418 16716 19104 22288 24627 32836 33432 44576 49254 57463 65672 66864 98508 114926 131344 133728 172389 197016 229852 262688 344778 394032 459704 689556 788064 919408 1379112 1633591 1838816 2758224 3267182 4900773 5516448 6534364 9801546 11435137 13068728 19603092 22870274 26137456 34305411 39206184 45740548 52274912 68610822 78412368 91481096 137221644 156824736 182962192 274443288 365924384 548886576 1097773152