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1357454640 = 243540913829
BaseRepresentation
bin101000011101001…
…0001110100110000
310111121021211200210
41100322101310300
510240002022030
6342410544120
745432113463
oct12072216460
93447254623
101357454640
1163727a843
1231a738040
131883034c9
14cc3d92da
157e28dbb0
hex50e91d30

1357454640 has 80 divisors (see below), whose sum is σ = 4218703200. Its totient is φ = 361076736.

The previous prime is 1357454633. The next prime is 1357454653. The reversal of 1357454640 is 464547531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91246 + ... + 105074.

It is an arithmetic number, because the mean of its divisors is an integer number (52733790).

Almost surely, 21357454640 is an apocalyptic number.

1357454640 is a gapful number since it is divisible by the number (10) 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 1357454640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109351600).

1357454640 is an abundant number, since it is smaller than the sum of its proper divisors (2861248560).

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

1357454640 is a wasteful number, since it uses less digits than its factorization.

1357454640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14254 (or 14248 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 1357454640 is about 36843.6512848550. The cubic root of 1357454640 is about 1107.2400224083.

The spelling of 1357454640 in words is "one billion, three hundred fifty-seven million, four hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 409 818 1227 1636 2045 2454 3272 4090 4908 6135 6544 8180 9816 12270 13829 16360 19632 24540 27658 32720 41487 49080 55316 69145 82974 98160 110632 138290 165948 207435 221264 276580 331896 414870 553160 663792 829740 1106320 1659480 3318960 5656061 11312122 16968183 22624244 28280305 33936366 45248488 56560610 67872732 84840915 90496976 113121220 135745464 169681830 226242440 271490928 339363660 452484880 678727320 1357454640